GCD of 660, 971, 502, 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 660, 971, 502, 772 i.e. 1 largest integer that divides all the numbers equally.

GCD of 660, 971, 502, 772 is 1

GCD(660, 971, 502, 772) = 1

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

GCD of

GCD of numbers 660, 971, 502, 772 is 1

GCD(660, 971, 502, 772) = 1

GCD of 660,971,502,772 Calculator

GCDof 660,971,502,772 is 1

Given Input numbers are 660, 971, 502, 772

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

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 660, 971, 502, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 971, 502, 772 is 1.

Therefore, GCD of numbers 660, 971, 502, 772 is 1

Finding GCD of 660, 971, 502, 772 using Prime Factorization

Given Input Data is 660, 971, 502, 772

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 971 is 971

Prime Factorization of 502 is 2 x 251

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 660, 971, 502, 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(660, 971) = 640860

GCD(660, 971) = ( 660 x 971 ) / 640860

GCD(660, 971) = 640860 / 640860

GCD(660, 971) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 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 660, 971, 502, 772 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 971, 502, 772

1. What is the GCD of 660, 971, 502, 772?

GCD of 660, 971, 502, 772 is 1


2. Where do I get the detailed procedure to find GCD of 660, 971, 502, 772?

You can find a detailed procedure to find GCD of 660, 971, 502, 772 on our page.


3. How to find GCD of 660, 971, 502, 772 on a calculator?

You can find the GCD of 660, 971, 502, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.