GCD of 72, 951, 518, 772 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 72, 951, 518, 772 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 951, 518, 772 is 1

GCD(72, 951, 518, 772) = 1

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

GCD of

GCD of numbers 72, 951, 518, 772 is 1

GCD(72, 951, 518, 772) = 1

GCD of 72,951,518,772 Calculator

GCDof 72,951,518,772 is 1

Given Input numbers are 72, 951, 518, 772

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

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 951

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

1, 3, 317, 951

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 72, 951, 518, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 951, 518, 772 is 1.

Therefore, GCD of numbers 72, 951, 518, 772 is 1

Finding GCD of 72, 951, 518, 772 using Prime Factorization

Given Input Data is 72, 951, 518, 772

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

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

Prime Factorization of 951 is 3 x 317

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 772 is 2 x 2 x 193

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

Finding GCD of 72, 951, 518, 772 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(72, 951) = 22824

GCD(72, 951) = ( 72 x 951 ) / 22824

GCD(72, 951) = 68472 / 22824

GCD(72, 951) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 518

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

LCM(3, 518) = 1554

GCD(3, 518) = ( 3 x 518 ) / 1554

GCD(3, 518) = 1554 / 1554

GCD(3, 518) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 72, 951, 518, 772 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 951, 518, 772

1. What is the GCD of 72, 951, 518, 772?

GCD of 72, 951, 518, 772 is 1


2. Where do I get the detailed procedure to find GCD of 72, 951, 518, 772?

You can find a detailed procedure to find GCD of 72, 951, 518, 772 on our page.


3. How to find GCD of 72, 951, 518, 772 on a calculator?

You can find the GCD of 72, 951, 518, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.