GCD of 915, 951, 72, 220 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 915, 951, 72, 220 i.e. 1 largest integer that divides all the numbers equally.

GCD of 915, 951, 72, 220 is 1

GCD(915, 951, 72, 220) = 1

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

GCD of

GCD of numbers 915, 951, 72, 220 is 1

GCD(915, 951, 72, 220) = 1

GCD of 915,951,72,220 Calculator

GCDof 915,951,72,220 is 1

Given Input numbers are 915, 951, 72, 220

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 915, 951, 72, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 951, 72, 220 is 1.

Therefore, GCD of numbers 915, 951, 72, 220 is 1

Finding GCD of 915, 951, 72, 220 using Prime Factorization

Given Input Data is 915, 951, 72, 220

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 951 is 3 x 317

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

Finding GCD of 915, 951, 72, 220 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(915, 951) = 290055

GCD(915, 951) = ( 915 x 951 ) / 290055

GCD(915, 951) = 870165 / 290055

GCD(915, 951) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 220

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

LCM(3, 220) = 660

GCD(3, 220) = ( 3 x 220 ) / 660

GCD(3, 220) = 660 / 660

GCD(3, 220) = 1

GCD of 915, 951, 72, 220 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 915, 951, 72, 220

1. What is the GCD of 915, 951, 72, 220?

GCD of 915, 951, 72, 220 is 1


2. Where do I get the detailed procedure to find GCD of 915, 951, 72, 220?

You can find a detailed procedure to find GCD of 915, 951, 72, 220 on our page.


3. How to find GCD of 915, 951, 72, 220 on a calculator?

You can find the GCD of 915, 951, 72, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.