GCD of 752, 302, 57, 981 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 752, 302, 57, 981 i.e. 1 largest integer that divides all the numbers equally.

GCD of 752, 302, 57, 981 is 1

GCD(752, 302, 57, 981) = 1

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

GCD of

GCD of numbers 752, 302, 57, 981 is 1

GCD(752, 302, 57, 981) = 1

GCD of 752,302,57,981 Calculator

GCDof 752,302,57,981 is 1

Given Input numbers are 752, 302, 57, 981

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 752, 302, 57, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 302, 57, 981 is 1.

Therefore, GCD of numbers 752, 302, 57, 981 is 1

Finding GCD of 752, 302, 57, 981 using Prime Factorization

Given Input Data is 752, 302, 57, 981

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 302 is 2 x 151

Prime Factorization of 57 is 3 x 19

Prime Factorization of 981 is 3 x 3 x 109

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

Finding GCD of 752, 302, 57, 981 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(752, 302) = 113552

GCD(752, 302) = ( 752 x 302 ) / 113552

GCD(752, 302) = 227104 / 113552

GCD(752, 302) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 752, 302, 57, 981 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 302, 57, 981

1. What is the GCD of 752, 302, 57, 981?

GCD of 752, 302, 57, 981 is 1


2. Where do I get the detailed procedure to find GCD of 752, 302, 57, 981?

You can find a detailed procedure to find GCD of 752, 302, 57, 981 on our page.


3. How to find GCD of 752, 302, 57, 981 on a calculator?

You can find the GCD of 752, 302, 57, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.