This calculator factors a set of positive integers to find the common factors (common divisors) of those integers. Enter the set of numbers you want to factor separating them with commas. Click "Calculate" to see all factors of each number as well as the greatest common factor (GCF). Show
The factors of a number include all divisors of that number. The factors of 12, for example, are 1, 2, 3, 4, 6 and 12. You can divide 12 by any of these numbers and obtain another whole integer number. Common factors are factors (divisors) that are in common among a set of numbers. Consider the factors of 27, 54, and 81:
1, 2, 3, 6, 9, 18, 27, 54 Each of the numbers can be divided by 1, 3, 9, and 27, so you can say that these numbers are common factors of the set of numbers 27, 54, and 81. The largest of the common factors is 27, so you can say that 27 is the greatest common factor of 27, 54, and 81. See the Factoring Calculator to learn more about finding the factors of a single integer number. LCM of 8 and 5 is 40. Least Common Multiple or the Lowest Common Multiple is the common multiple for a given set of numbers. Here 8 and 5 is the given set of numbers, 40 is the first or smallest or least number that is common in the set of multiples of 8 and 5. The LCM is also known as LCD, Least Common Divisor and for (8, 5) is 40. You can refer to the LCM with Examples for more understanding. What is LCM of 8 and 5The Least Common Multiple or Lowest Common Multiple of 8 and 5 is 40.  How to Find LCM of 8 and 5?LCM of 8 and 5 can be determined using three methods:
LCM of 8 and 5 Using Prime Factorisation MethodIn the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 8 and 5 can be expressed as; 8 = 8 x 1 5 = 5 x 1 LCM (8, 5) = 8 x 5 = 40 LCM of 8 and 5 Using Division MethodIn the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
LCM (8, 5) = 8 x 5 = 40. LCM of 8 and 5 Using Listing the MultiplesBy listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 8 and 5
LCM (8, 5) = 40 Related ArticlesVideo Lesson on Applications of LCMSolved ExamplesWhat is the smallest number that is divisible by both 8 and 5? Answer: 40 is the smallest number that is divisible by (8, 5). What is the Greatest Common Divisor for 8 and 5? Answer: Greatest Common Divisor for 8 and 5 is 1. The LCM of 8 and 5 is 40. No. Least Common Multiple of 8 and 5 is 40 and Highest Common Factor of 8 and 5 is 1. 1 is the common factor of 8 and 5.
Are you on the hunt for the GCF of 5 and 8? Since you're on this page I'd guess so! In this quick guide, we'll walk you through how to calculate the greatest common factor for any numbers you need to check. Let's jump in!
Want to quickly learn or show students how to find the GCF of two or more numbers? Play this very quick and fun video now! First off, if you're in a rush, here's the answer to the question "what is the GCF of 5 and 8?": GCF of 5 and 8 = 1 What is the Greatest Common Factor?Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. It's also commonly known as:
There are a number of different ways to calculate the GCF of a set of numbers depending how many numbers you have and how large they are. For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them. For 5 and 8 those factors look like this:
As you can see when you list out the factors of each number, 1 is the greatest number that 5 and 8 divides into. Prime FactorsAs the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors. List out all of the prime factors for each number:
Now that we have the list of prime factors, we need to find any which are common for each number. Since there are no common prime factors between the numbers above, this means the greatest common factor is 1: GCF = 1 Find the GCF Using Euclid's AlgorithmThe final method for calculating the GCF of 5 and 8 is to use Euclid's algorithm. This is a more complicated way of calculating the greatest common factor and is really only used by GCD calculators. If you want to learn more about the algorithm and perhaps try it yourself, take a look at the Wikipedia page. Hopefully you've learned a little math today and understand how to calculate the GCD of numbers. Grab a pencil and paper and give it a try for yourself. (or just use our GCD calculator - we won't tell anyone!) Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
Greatest common factor (GCF) of 5 and 8 is 1. GCF(5,8) = 1 We will now calculate the prime factors of 5 and 8, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5 and 8. We will first find the prime factorization of 5 and 8. After we will calculate the factors of 5 and 8 and find the biggest common factor number . Step-1: Prime Factorization of 5
Prime factors of 5 are 5. Prime factorization of 5 in exponential form is: 5 = 51 Step-2: Prime Factorization of 8
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is: 8 = 23 Step-3: Factors of 5List of positive integer factors of 5 that divides 5 without a remainder. 1 Step-4: Factors of 8List of positive integer factors of 8 that divides 5 without a remainder. 1, 2, 4 Final Step: Biggest Common Factor NumberWe found the factors and prime factorization of 5 and 8. The biggest common factor number is the GCF number. Also check out the Least Common Multiple of 5 and 8 |
What do 8 and 5 have in common?
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