Where do I get the detailed procedure to find GCD of 972, 518, 322?

You can find a detailed procedure to find GCD of 972, 518, 322 on our page.

How to find GCD of 972, 518, 322 on a calculator?

You can find the GCD of 972, 518, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 972, 518, 322 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, 322 quickly. Get the easiest ways to solve the greatest common divisor of 972, 518, 322 i.e 2 in different methods as follows.

How to Find GCD of Numbers 972, 518, 322 with Factoring?

Given Input numbers are 972, 518, 322

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (972, 518, 322) = 2.

Find GCD of 972, 518, 322 using Prime Factorization

Given numbers are 972, 518, 322

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 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 972, 518, 322 is 2.

Steps to Calculate GCD of 972, 518, 322 using LCM Formula

Given numbers are 972, 518, 322

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, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 972, 518, 322 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 972, 518, 322

Given numbers are 972, 518, 322
The greatest common divisor of numbers 972, 518, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 518, 322 is 2.

FAQs on GCD of 972, 518, 322 Calculator

1. What is the GCD of 972, 518, 322?

GCD of given numbers 972, 518, 322 is 2

2. How to calculate the greatest common divisor of 972, 518, 322?

We can find the highest common divisor of 972, 518, 322 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, 322 i.e 2.

3. How can I use the GCD of 972, 518, 322Calculator?

Out the numbers 972, 518, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.