GCD of 502, 531, 66, 120 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 502, 531, 66, 120 i.e. 1 largest integer that divides all the numbers equally.

GCD of 502, 531, 66, 120 is 1

GCD(502, 531, 66, 120) = 1

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

GCD of

GCD of numbers 502, 531, 66, 120 is 1

GCD(502, 531, 66, 120) = 1

GCD of 502,531,66,120 Calculator

GCDof 502,531,66,120 is 1

Given Input numbers are 502, 531, 66, 120

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 502, 531, 66, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 531, 66, 120 is 1.

Therefore, GCD of numbers 502, 531, 66, 120 is 1

Finding GCD of 502, 531, 66, 120 using Prime Factorization

Given Input Data is 502, 531, 66, 120

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Finding GCD of 502, 531, 66, 120 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(502, 531) = 266562

GCD(502, 531) = ( 502 x 531 ) / 266562

GCD(502, 531) = 266562 / 266562

GCD(502, 531) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 502, 531, 66, 120 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 502, 531, 66, 120

1. What is the GCD of 502, 531, 66, 120?

GCD of 502, 531, 66, 120 is 1


2. Where do I get the detailed procedure to find GCD of 502, 531, 66, 120?

You can find a detailed procedure to find GCD of 502, 531, 66, 120 on our page.


3. How to find GCD of 502, 531, 66, 120 on a calculator?

You can find the GCD of 502, 531, 66, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.