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GCD of 502, 397, 517, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 502, 397, 517, 972 quickly. Get the easiest ways to solve the greatest common divisor of 502, 397, 517, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 502, 397, 517, 972 with Factoring?

Given Input numbers are 502, 397, 517, 972

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 517 :

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

1, 11, 47, 517

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


GCD of numbers is the greatest common divisor

So, the GCD (502, 397, 517, 972) = 1.

Find GCD of 502, 397, 517, 972 using Prime Factorization

Given numbers are 502, 397, 517, 972

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 397 are 397

Prime factors of 517 are 11 x 47

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

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

Steps to Calculate GCD of 502, 397, 517, 972 using LCM Formula

Given numbers are 502, 397, 517, 972

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

Apply this formula for all numbers.

Step1:

LCM(502, 397) = 199294

GCD(502, 397) = ( 502 x 397 ) / 199294

= 502 / 397

= 502


Step2:

LCM(1, 517) = 517

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

= 1 / 517

= 1


Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


So, Greatest Common Divisor of 502, 397, 517, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 502, 397, 517, 972

Given numbers are 502, 397, 517, 972
The greatest common divisor of numbers 502, 397, 517, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 397, 517, 972 is 1.

FAQs on GCD of 502, 397, 517, 972 Calculator

1. What is the GCD of 502, 397, 517, 972?

GCD of given numbers 502, 397, 517, 972 is 1


2. How to calculate the greatest common divisor of 502, 397, 517, 972?

We can find the highest common divisor of 502, 397, 517, 972 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 502, 397, 517, 972 i.e 1.


3. How can I use the GCD of 502, 397, 517, 972Calculator?

Out the numbers 502, 397, 517, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.