GCD of 961, 540, 76, 375 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 961, 540, 76, 375 i.e. 1 largest integer that divides all the numbers equally.

GCD of 961, 540, 76, 375 is 1

GCD(961, 540, 76, 375) = 1

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

GCD of

GCD of numbers 961, 540, 76, 375 is 1

GCD(961, 540, 76, 375) = 1

GCD of 961,540,76,375 Calculator

GCDof 961,540,76,375 is 1

Given Input numbers are 961, 540, 76, 375

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 961, 540, 76, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 540, 76, 375 is 1.

Therefore, GCD of numbers 961, 540, 76, 375 is 1

Finding GCD of 961, 540, 76, 375 using Prime Factorization

Given Input Data is 961, 540, 76, 375

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 375 is 3 x 5 x 5 x 5

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

Finding GCD of 961, 540, 76, 375 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(961, 540) = 518940

GCD(961, 540) = ( 961 x 540 ) / 518940

GCD(961, 540) = 518940 / 518940

GCD(961, 540) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 961, 540, 76, 375 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 961, 540, 76, 375

1. What is the GCD of 961, 540, 76, 375?

GCD of 961, 540, 76, 375 is 1


2. Where do I get the detailed procedure to find GCD of 961, 540, 76, 375?

You can find a detailed procedure to find GCD of 961, 540, 76, 375 on our page.


3. How to find GCD of 961, 540, 76, 375 on a calculator?

You can find the GCD of 961, 540, 76, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.