GCD of 252, 785, 59, 121 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 252, 785, 59, 121 i.e. 1 largest integer that divides all the numbers equally.

GCD of 252, 785, 59, 121 is 1

GCD(252, 785, 59, 121) = 1

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

GCD of

GCD of numbers 252, 785, 59, 121 is 1

GCD(252, 785, 59, 121) = 1

GCD of 252,785,59,121 Calculator

GCDof 252,785,59,121 is 1

Given Input numbers are 252, 785, 59, 121

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 121

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

1, 11, 121

Greatest Common Divisior

We found the divisors of 252, 785, 59, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 785, 59, 121 is 1.

Therefore, GCD of numbers 252, 785, 59, 121 is 1

Finding GCD of 252, 785, 59, 121 using Prime Factorization

Given Input Data is 252, 785, 59, 121

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 785 is 5 x 157

Prime Factorization of 59 is 59

Prime Factorization of 121 is 11 x 11

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

Finding GCD of 252, 785, 59, 121 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(252, 785) = 197820

GCD(252, 785) = ( 252 x 785 ) / 197820

GCD(252, 785) = 197820 / 197820

GCD(252, 785) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 252, 785, 59, 121 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 252, 785, 59, 121

1. What is the GCD of 252, 785, 59, 121?

GCD of 252, 785, 59, 121 is 1


2. Where do I get the detailed procedure to find GCD of 252, 785, 59, 121?

You can find a detailed procedure to find GCD of 252, 785, 59, 121 on our page.


3. How to find GCD of 252, 785, 59, 121 on a calculator?

You can find the GCD of 252, 785, 59, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.