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GCD of 972, 755, 831, 657 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 755, 831, 657 quickly. Get the easiest ways to solve the greatest common divisor of 972, 755, 831, 657 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 755, 831, 657 with Factoring?

Given Input numbers are 972, 755, 831, 657

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657


GCD of numbers is the greatest common divisor

So, the GCD (972, 755, 831, 657) = 1.

Find GCD of 972, 755, 831, 657 using Prime Factorization

Given numbers are 972, 755, 831, 657

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 755 are 5 x 151

Prime factors of 831 are 3 x 277

Prime factors of 657 are 3 x 3 x 73

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

Steps to Calculate GCD of 972, 755, 831, 657 using LCM Formula

Given numbers are 972, 755, 831, 657

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

Apply this formula for all numbers.

Step1:

LCM(972, 755) = 733860

GCD(972, 755) = ( 972 x 755 ) / 733860

= 972 / 755

= 972


Step2:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1


Step3:

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

= 1 / 657

= 1


So, Greatest Common Divisor of 972, 755, 831, 657 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 755, 831, 657

Given numbers are 972, 755, 831, 657
The greatest common divisor of numbers 972, 755, 831, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 755, 831, 657 is 1.

FAQs on GCD of 972, 755, 831, 657 Calculator

1. What is the GCD of 972, 755, 831, 657?

GCD of given numbers 972, 755, 831, 657 is 1


2. How to calculate the greatest common divisor of 972, 755, 831, 657?

We can find the highest common divisor of 972, 755, 831, 657 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, 755, 831, 657 i.e 1.


3. How can I use the GCD of 972, 755, 831, 657Calculator?

Out the numbers 972, 755, 831, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.