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GCD of 957, 972, 512, 356 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 957, 972, 512, 356 quickly. Get the easiest ways to solve the greatest common divisor of 957, 972, 512, 356 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 957, 972, 512, 356 with Factoring?

Given Input numbers are 957, 972, 512, 356

In the factoring method, we have to find the divisors of all numbers

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356


GCD of numbers is the greatest common divisor

So, the GCD (957, 972, 512, 356) = 1.

Find GCD of 957, 972, 512, 356 using Prime Factorization

Given numbers are 957, 972, 512, 356

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 356 are 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 957, 972, 512, 356 using LCM Formula

Given numbers are 957, 972, 512, 356

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(957, 972) = 310068

GCD(957, 972) = ( 957 x 972 ) / 310068

= 957 / 972

= 957


Step2:

LCM(3, 512) = 1536

GCD(3, 512) = ( 3 x 512 ) / 1536

= 3 / 512

= 3


Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1


So, Greatest Common Divisor of 957, 972, 512, 356 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 957, 972, 512, 356

Given numbers are 957, 972, 512, 356
The greatest common divisor of numbers 957, 972, 512, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 972, 512, 356 is 1.

FAQs on GCD of 957, 972, 512, 356 Calculator

1. What is the GCD of 957, 972, 512, 356?

GCD of given numbers 957, 972, 512, 356 is 1


2. How to calculate the greatest common divisor of 957, 972, 512, 356?

We can find the highest common divisor of 957, 972, 512, 356 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 957, 972, 512, 356 i.e 1.


3. How can I use the GCD of 957, 972, 512, 356Calculator?

Out the numbers 957, 972, 512, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.