GCD of 121, 318, 59 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, 318, 59 i.e. 1 largest integer that divides all the numbers equally.

GCD of 121, 318, 59 is 1

GCD(121, 318, 59) = 1

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

GCD of

GCD of numbers 121, 318, 59 is 1

GCD(121, 318, 59) = 1

GCD of 121,318,59 Calculator

GCDof 121,318,59 is 1

Given Input numbers are 121, 318, 59

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 59

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

1, 59

Greatest Common Divisior

We found the divisors of 121, 318, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 318, 59 is 1.

Therefore, GCD of numbers 121, 318, 59 is 1

Finding GCD of 121, 318, 59 using Prime Factorization

Given Input Data is 121, 318, 59

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 59 is 59

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

Finding GCD of 121, 318, 59 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, 318) = 38478

GCD(121, 318) = ( 121 x 318 ) / 38478

GCD(121, 318) = 38478 / 38478

GCD(121, 318) = 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

GCD of 121, 318, 59 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 121, 318, 59

1. What is the GCD of 121, 318, 59?

GCD of 121, 318, 59 is 1

2. Where do I get the detailed procedure to find GCD of 121, 318, 59?

You can find a detailed procedure to find GCD of 121, 318, 59 on our page.

3. How to find GCD of 121, 318, 59 on a calculator?

You can find the GCD of 121, 318, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.