GCD of 121, 738, 82, 980 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 121, 738, 82, 980 i.e. 1 largest integer that divides all the numbers equally.

GCD of 121, 738, 82, 980 is 1

GCD(121, 738, 82, 980) = 1

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

GCD of

GCD of numbers 121, 738, 82, 980 is 1

GCD(121, 738, 82, 980) = 1

GCD of 121,738,82,980 Calculator

GCDof 121,738,82,980 is 1

Given Input numbers are 121, 738, 82, 980

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 121, 738, 82, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 738, 82, 980 is 1.

Therefore, GCD of numbers 121, 738, 82, 980 is 1

Finding GCD of 121, 738, 82, 980 using Prime Factorization

Given Input Data is 121, 738, 82, 980

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 82 is 2 x 41

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

Finding GCD of 121, 738, 82, 980 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(121, 738) = 89298

GCD(121, 738) = ( 121 x 738 ) / 89298

GCD(121, 738) = 89298 / 89298

GCD(121, 738) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 121, 738, 82, 980 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 121, 738, 82, 980

1. What is the GCD of 121, 738, 82, 980?

GCD of 121, 738, 82, 980 is 1


2. Where do I get the detailed procedure to find GCD of 121, 738, 82, 980?

You can find a detailed procedure to find GCD of 121, 738, 82, 980 on our page.


3. How to find GCD of 121, 738, 82, 980 on a calculator?

You can find the GCD of 121, 738, 82, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.