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GCD of 972, 151, 473, 517 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, 151, 473, 517 quickly. Get the easiest ways to solve the greatest common divisor of 972, 151, 473, 517 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 151, 473, 517 with Factoring?

Given Input numbers are 972, 151, 473, 517

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 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517


GCD of numbers is the greatest common divisor

So, the GCD (972, 151, 473, 517) = 1.

Find GCD of 972, 151, 473, 517 using Prime Factorization

Given numbers are 972, 151, 473, 517

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 151 are 151

Prime factors of 473 are 11 x 43

Prime factors of 517 are 11 x 47

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

Steps to Calculate GCD of 972, 151, 473, 517 using LCM Formula

Given numbers are 972, 151, 473, 517

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

Apply this formula for all numbers.

Step1:

LCM(972, 151) = 146772

GCD(972, 151) = ( 972 x 151 ) / 146772

= 972 / 151

= 972


Step2:

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

= 1 / 473

= 1


Step3:

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

= 1 / 517

= 1


So, Greatest Common Divisor of 972, 151, 473, 517 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 151, 473, 517

Given numbers are 972, 151, 473, 517
The greatest common divisor of numbers 972, 151, 473, 517 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 151, 473, 517 is 1.

FAQs on GCD of 972, 151, 473, 517 Calculator

1. What is the GCD of 972, 151, 473, 517?

GCD of given numbers 972, 151, 473, 517 is 1


2. How to calculate the greatest common divisor of 972, 151, 473, 517?

We can find the highest common divisor of 972, 151, 473, 517 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, 151, 473, 517 i.e 1.


3. How can I use the GCD of 972, 151, 473, 517Calculator?

Out the numbers 972, 151, 473, 517 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.