GCD of 108, 656, 744 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 108, 656, 744 quickly. Get the easiest ways to solve the greatest common divisor of 108, 656, 744 i.e 4 in different methods as follows.
Given Input numbers are 108, 656, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (108, 656, 744) = 4.
Given numbers are 108, 656, 744
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 22
Therefore, GCD of 108, 656, 744 is 4.
Steps to Calculate GCD of 108, 656, 744 using LCM Formula
Given numbers are 108, 656, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 656) = 17712
GCD(108, 656) = ( 108 x 656 ) / 17712
= 108 / 656
= 108
Step2:
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
= 4 / 744
= 4
So, Greatest Common Divisor of 108, 656, 744 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 108, 656, 744
Given numbers are 108, 656, 744
The greatest common divisor of numbers 108, 656, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 656, 744 is 4.
FAQs on GCD of 108, 656, 744 Calculator
1. What is the GCD of 108, 656, 744?
GCD of given numbers 108, 656, 744 is 4
2. How to calculate the greatest common divisor of 108, 656, 744?
We can find the highest common divisor of 108, 656, 744 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 108, 656, 744 i.e 4.
3. How can I use the GCD of 108, 656, 744Calculator?
Out the numbers 108, 656, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.