Where do I get the detailed procedure to find GCD of 758, 216, 972?

You can find a detailed procedure to find GCD of 758, 216, 972 on our page.

How to find GCD of 758, 216, 972 on a calculator?

You can find the GCD of 758, 216, 972 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 758, 216, 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 758, 216, 972 quickly. Get the easiest ways to solve the greatest common divisor of 758, 216, 972 i.e 2 in different methods as follows.

How to Find GCD of Numbers 758, 216, 972 with Factoring?

Given Input numbers are 758, 216, 972

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 (758, 216, 972) = 2.

Find GCD of 758, 216, 972 using Prime Factorization

Given numbers are 758, 216, 972

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 758, 216, 972 is 2.

Steps to Calculate GCD of 758, 216, 972 using LCM Formula

Given numbers are 758, 216, 972

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

Apply this formula for all numbers.

Step1:

LCM(758, 216) = 81864

GCD(758, 216) = ( 758 x 216 ) / 81864

= 758 / 216

= 758

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 758, 216, 972 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 758, 216, 972

Given numbers are 758, 216, 972
The greatest common divisor of numbers 758, 216, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 216, 972 is 2.

FAQs on GCD of 758, 216, 972 Calculator

1. What is the GCD of 758, 216, 972?

GCD of given numbers 758, 216, 972 is 2

2. How to calculate the greatest common divisor of 758, 216, 972?

We can find the highest common divisor of 758, 216, 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 758, 216, 972 i.e 2.

3. How can I use the GCD of 758, 216, 972Calculator?

Out the numbers 758, 216, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.