GCD of 53, 600, 908, 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 53, 600, 908, 156 i.e. 1 largest integer that divides all the numbers equally.

GCD of 53, 600, 908, 156 is 1

GCD(53, 600, 908, 156) = 1

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

GCD of

GCD of numbers 53, 600, 908, 156 is 1

GCD(53, 600, 908, 156) = 1

GCD of 53,600,908,156 Calculator

GCDof 53,600,908,156 is 1

Given Input numbers are 53, 600, 908, 156

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 53, 600, 908, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 600, 908, 156 is 1.

Therefore, GCD of numbers 53, 600, 908, 156 is 1

Finding GCD of 53, 600, 908, 156 using Prime Factorization

Given Input Data is 53, 600, 908, 156

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

Prime Factorization of 53 is 53

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 908 is 2 x 2 x 227

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

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

Finding GCD of 53, 600, 908, 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(53, 600) = 31800

GCD(53, 600) = ( 53 x 600 ) / 31800

GCD(53, 600) = 31800 / 31800

GCD(53, 600) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 53, 600, 908, 156 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 53, 600, 908, 156

1. What is the GCD of 53, 600, 908, 156?

GCD of 53, 600, 908, 156 is 1


2. Where do I get the detailed procedure to find GCD of 53, 600, 908, 156?

You can find a detailed procedure to find GCD of 53, 600, 908, 156 on our page.


3. How to find GCD of 53, 600, 908, 156 on a calculator?

You can find the GCD of 53, 600, 908, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.