GCD of 118, 912, 425, 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 118, 912, 425, 975 i.e. 1 largest integer that divides all the numbers equally.

GCD of 118, 912, 425, 975 is 1

GCD(118, 912, 425, 975) = 1

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

GCD of

GCD of numbers 118, 912, 425, 975 is 1

GCD(118, 912, 425, 975) = 1

GCD of 118,912,425,975 Calculator

GCDof 118,912,425,975 is 1

Given Input numbers are 118, 912, 425, 975

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

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 118, 912, 425, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 912, 425, 975 is 1.

Therefore, GCD of numbers 118, 912, 425, 975 is 1

Finding GCD of 118, 912, 425, 975 using Prime Factorization

Given Input Data is 118, 912, 425, 975

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 425 is 5 x 5 x 17

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 118, 912, 425, 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(118, 912) = 53808

GCD(118, 912) = ( 118 x 912 ) / 53808

GCD(118, 912) = 107616 / 53808

GCD(118, 912) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 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 118, 912, 425, 975 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 118, 912, 425, 975

1. What is the GCD of 118, 912, 425, 975?

GCD of 118, 912, 425, 975 is 1


2. Where do I get the detailed procedure to find GCD of 118, 912, 425, 975?

You can find a detailed procedure to find GCD of 118, 912, 425, 975 on our page.


3. How to find GCD of 118, 912, 425, 975 on a calculator?

You can find the GCD of 118, 912, 425, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.