GCD of 978, 125, 26, 242 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 978, 125, 26, 242 i.e. 1 largest integer that divides all the numbers equally.

GCD of 978, 125, 26, 242 is 1

GCD(978, 125, 26, 242) = 1

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

GCD of

GCD of numbers 978, 125, 26, 242 is 1

GCD(978, 125, 26, 242) = 1

GCD of 978,125,26,242 Calculator

GCDof 978,125,26,242 is 1

Given Input numbers are 978, 125, 26, 242

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 978, 125, 26, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 125, 26, 242 is 1.

Therefore, GCD of numbers 978, 125, 26, 242 is 1

Finding GCD of 978, 125, 26, 242 using Prime Factorization

Given Input Data is 978, 125, 26, 242

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 26 is 2 x 13

Prime Factorization of 242 is 2 x 11 x 11

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

Finding GCD of 978, 125, 26, 242 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(978, 125) = 122250

GCD(978, 125) = ( 978 x 125 ) / 122250

GCD(978, 125) = 122250 / 122250

GCD(978, 125) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 978, 125, 26, 242 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 978, 125, 26, 242

1. What is the GCD of 978, 125, 26, 242?

GCD of 978, 125, 26, 242 is 1


2. Where do I get the detailed procedure to find GCD of 978, 125, 26, 242?

You can find a detailed procedure to find GCD of 978, 125, 26, 242 on our page.


3. How to find GCD of 978, 125, 26, 242 on a calculator?

You can find the GCD of 978, 125, 26, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.