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GCD of 972, 518, 627, 132 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, 518, 627, 132 quickly. Get the easiest ways to solve the greatest common divisor of 972, 518, 627, 132 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 518, 627, 132 with Factoring?

Given Input numbers are 972, 518, 627, 132

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (972, 518, 627, 132) = 1.

Find GCD of 972, 518, 627, 132 using Prime Factorization

Given numbers are 972, 518, 627, 132

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 518 are 2 x 7 x 37

Prime factors of 627 are 3 x 11 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 972, 518, 627, 132 using LCM Formula

Given numbers are 972, 518, 627, 132

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

Apply this formula for all numbers.

Step1:

LCM(972, 518) = 251748

GCD(972, 518) = ( 972 x 518 ) / 251748

= 972 / 518

= 972


Step2:

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

= 2 / 627

= 2


Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1


So, Greatest Common Divisor of 972, 518, 627, 132 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 518, 627, 132

Given numbers are 972, 518, 627, 132
The greatest common divisor of numbers 972, 518, 627, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 518, 627, 132 is 1.

FAQs on GCD of 972, 518, 627, 132 Calculator

1. What is the GCD of 972, 518, 627, 132?

GCD of given numbers 972, 518, 627, 132 is 1


2. How to calculate the greatest common divisor of 972, 518, 627, 132?

We can find the highest common divisor of 972, 518, 627, 132 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, 518, 627, 132 i.e 1.


3. How can I use the GCD of 972, 518, 627, 132Calculator?

Out the numbers 972, 518, 627, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.