GCD of 972, 156, 957 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 972, 156, 957 quickly. Get the easiest ways to solve the greatest common divisor of 972, 156, 957 i.e 3 in different methods as follows.
Given Input numbers are 972, 156, 957
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (972, 156, 957) = 3.
Given numbers are 972, 156, 957
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 957 are 3 x 11 x 29
The highest common occurrence is 31
Therefore, GCD of 972, 156, 957 is 3.
Steps to Calculate GCD of 972, 156, 957 using LCM Formula
Given numbers are 972, 156, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 156) = 12636
GCD(972, 156) = ( 972 x 156 ) / 12636
= 972 / 156
= 972
Step2:
LCM(12, 957) = 3828
GCD(12, 957) = ( 12 x 957 ) / 3828
= 12 / 957
= 12
So, Greatest Common Divisor of 972, 156, 957 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 972, 156, 957
Given numbers are 972, 156, 957
The greatest common divisor of numbers 972, 156, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 156, 957 is 3.
FAQs on GCD of 972, 156, 957 Calculator
1. What is the GCD of 972, 156, 957?
GCD of given numbers 972, 156, 957 is 3
2. How to calculate the greatest common divisor of 972, 156, 957?
We can find the highest common divisor of 972, 156, 957 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 972, 156, 957 i.e 3.
3. How can I use the GCD of 972, 156, 957Calculator?
Out the numbers 972, 156, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.