GCD of 763, 113, 18, 975 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 763, 113, 18, 975 i.e. 1 largest integer that divides all the numbers equally.

GCD of 763, 113, 18, 975 is 1

GCD(763, 113, 18, 975) = 1

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

GCD of

GCD of numbers 763, 113, 18, 975 is 1

GCD(763, 113, 18, 975) = 1

GCD of 763,113,18,975 Calculator

GCDof 763,113,18,975 is 1

Given Input numbers are 763, 113, 18, 975

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 763, 113, 18, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 113, 18, 975 is 1.

Therefore, GCD of numbers 763, 113, 18, 975 is 1

Finding GCD of 763, 113, 18, 975 using Prime Factorization

Given Input Data is 763, 113, 18, 975

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 113 is 113

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Finding GCD of 763, 113, 18, 975 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(763, 113) = 86219

GCD(763, 113) = ( 763 x 113 ) / 86219

GCD(763, 113) = 86219 / 86219

GCD(763, 113) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 763, 113, 18, 975 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 763, 113, 18, 975

1. What is the GCD of 763, 113, 18, 975?

GCD of 763, 113, 18, 975 is 1


2. Where do I get the detailed procedure to find GCD of 763, 113, 18, 975?

You can find a detailed procedure to find GCD of 763, 113, 18, 975 on our page.


3. How to find GCD of 763, 113, 18, 975 on a calculator?

You can find the GCD of 763, 113, 18, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.