GCD of 577, 957, 76, 961 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 577, 957, 76, 961 i.e. 1 largest integer that divides all the numbers equally.

GCD of 577, 957, 76, 961 is 1

GCD(577, 957, 76, 961) = 1

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

GCD of

GCD of numbers 577, 957, 76, 961 is 1

GCD(577, 957, 76, 961) = 1

GCD of 577,957,76,961 Calculator

GCDof 577,957,76,961 is 1

Given Input numbers are 577, 957, 76, 961

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 577, 957, 76, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 957, 76, 961 is 1.

Therefore, GCD of numbers 577, 957, 76, 961 is 1

Finding GCD of 577, 957, 76, 961 using Prime Factorization

Given Input Data is 577, 957, 76, 961

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

Prime Factorization of 577 is 577

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 961 is 31 x 31

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

Finding GCD of 577, 957, 76, 961 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(577, 957) = 552189

GCD(577, 957) = ( 577 x 957 ) / 552189

GCD(577, 957) = 552189 / 552189

GCD(577, 957) = 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 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 577, 957, 76, 961 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 577, 957, 76, 961

1. What is the GCD of 577, 957, 76, 961?

GCD of 577, 957, 76, 961 is 1


2. Where do I get the detailed procedure to find GCD of 577, 957, 76, 961?

You can find a detailed procedure to find GCD of 577, 957, 76, 961 on our page.


3. How to find GCD of 577, 957, 76, 961 on a calculator?

You can find the GCD of 577, 957, 76, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.