GCD of 972, 633, 70, 215 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 972, 633, 70, 215 i.e. 1 largest integer that divides all the numbers equally.

GCD of 972, 633, 70, 215 is 1

GCD(972, 633, 70, 215) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 972, 633, 70, 215 is 1

GCD(972, 633, 70, 215) = 1

GCD of 972,633,70,215 Calculator

GCDof 972,633,70,215 is 1

Given Input numbers are 972, 633, 70, 215

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 972, 633, 70, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 633, 70, 215 is 1.

Therefore, GCD of numbers 972, 633, 70, 215 is 1

Finding GCD of 972, 633, 70, 215 using Prime Factorization

Given Input Data is 972, 633, 70, 215

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 633 is 3 x 211

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 215 is 5 x 43

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

Finding GCD of 972, 633, 70, 215 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(972, 633) = 205092

GCD(972, 633) = ( 972 x 633 ) / 205092

GCD(972, 633) = 615276 / 205092

GCD(972, 633) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 972, 633, 70, 215 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 972, 633, 70, 215

1. What is the GCD of 972, 633, 70, 215?

GCD of 972, 633, 70, 215 is 1


2. Where do I get the detailed procedure to find GCD of 972, 633, 70, 215?

You can find a detailed procedure to find GCD of 972, 633, 70, 215 on our page.


3. How to find GCD of 972, 633, 70, 215 on a calculator?

You can find the GCD of 972, 633, 70, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.