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GCD of 972, 855, 275, 764 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, 855, 275, 764 quickly. Get the easiest ways to solve the greatest common divisor of 972, 855, 275, 764 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 855, 275, 764 with Factoring?

Given Input numbers are 972, 855, 275, 764

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 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764


GCD of numbers is the greatest common divisor

So, the GCD (972, 855, 275, 764) = 1.

Find GCD of 972, 855, 275, 764 using Prime Factorization

Given numbers are 972, 855, 275, 764

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 855 are 3 x 3 x 5 x 19

Prime factors of 275 are 5 x 5 x 11

Prime factors of 764 are 2 x 2 x 191

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

Steps to Calculate GCD of 972, 855, 275, 764 using LCM Formula

Given numbers are 972, 855, 275, 764

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

Apply this formula for all numbers.

Step1:

LCM(972, 855) = 92340

GCD(972, 855) = ( 972 x 855 ) / 92340

= 972 / 855

= 972


Step2:

LCM(9, 275) = 2475

GCD(9, 275) = ( 9 x 275 ) / 2475

= 9 / 275

= 9


Step3:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1


So, Greatest Common Divisor of 972, 855, 275, 764 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 855, 275, 764

Given numbers are 972, 855, 275, 764
The greatest common divisor of numbers 972, 855, 275, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 855, 275, 764 is 1.

FAQs on GCD of 972, 855, 275, 764 Calculator

1. What is the GCD of 972, 855, 275, 764?

GCD of given numbers 972, 855, 275, 764 is 1


2. How to calculate the greatest common divisor of 972, 855, 275, 764?

We can find the highest common divisor of 972, 855, 275, 764 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, 855, 275, 764 i.e 1.


3. How can I use the GCD of 972, 855, 275, 764Calculator?

Out the numbers 972, 855, 275, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.