GCD of 524, 366, 60, 156 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 524, 366, 60, 156 i.e. 2 largest integer that divides all the numbers equally.

GCD of 524, 366, 60, 156 is 2

GCD(524, 366, 60, 156) = 2

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

GCD of

GCD of numbers 524, 366, 60, 156 is 2

GCD(524, 366, 60, 156) = 2

GCD of 524,366,60,156 Calculator

GCDof 524,366,60,156 is 2

Given Input numbers are 524, 366, 60, 156

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 524, 366, 60, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 366, 60, 156 is 2.

Therefore, GCD of numbers 524, 366, 60, 156 is 2

Finding GCD of 524, 366, 60, 156 using Prime Factorization

Given Input Data is 524, 366, 60, 156

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 524, 366, 60, 156 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(524, 366) = 95892

GCD(524, 366) = ( 524 x 366 ) / 95892

GCD(524, 366) = 191784 / 95892

GCD(524, 366) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 524, 366, 60, 156 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 524, 366, 60, 156

1. What is the GCD of 524, 366, 60, 156?

GCD of 524, 366, 60, 156 is 2


2. Where do I get the detailed procedure to find GCD of 524, 366, 60, 156?

You can find a detailed procedure to find GCD of 524, 366, 60, 156 on our page.


3. How to find GCD of 524, 366, 60, 156 on a calculator?

You can find the GCD of 524, 366, 60, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.