GCD of 121, 956, 221, 709 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, 956, 221, 709 i.e. 1 largest integer that divides all the numbers equally.

GCD of 121, 956, 221, 709 is 1

GCD(121, 956, 221, 709) = 1

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

GCD of

GCD of numbers 121, 956, 221, 709 is 1

GCD(121, 956, 221, 709) = 1

GCD of 121,956,221,709 Calculator

GCDof 121,956,221,709 is 1

Given Input numbers are 121, 956, 221, 709

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 121, 956, 221, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 956, 221, 709 is 1.

Therefore, GCD of numbers 121, 956, 221, 709 is 1

Finding GCD of 121, 956, 221, 709 using Prime Factorization

Given Input Data is 121, 956, 221, 709

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 221 is 13 x 17

Prime Factorization of 709 is 709

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

Finding GCD of 121, 956, 221, 709 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, 956) = 115676

GCD(121, 956) = ( 121 x 956 ) / 115676

GCD(121, 956) = 115676 / 115676

GCD(121, 956) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 121, 956, 221, 709 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 121, 956, 221, 709

1. What is the GCD of 121, 956, 221, 709?

GCD of 121, 956, 221, 709 is 1


2. Where do I get the detailed procedure to find GCD of 121, 956, 221, 709?

You can find a detailed procedure to find GCD of 121, 956, 221, 709 on our page.


3. How to find GCD of 121, 956, 221, 709 on a calculator?

You can find the GCD of 121, 956, 221, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.