GCD of 500, 776, 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 500, 776, 156 i.e. 4 largest integer that divides all the numbers equally.

GCD of 500, 776, 156 is 4

GCD(500, 776, 156) = 4

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

GCD of

GCD of numbers 500, 776, 156 is 4

GCD(500, 776, 156) = 4

GCD of 500,776,156 Calculator

GCDof 500,776,156 is 4

Given Input numbers are 500, 776, 156

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 500, 776, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 776, 156 is 4.

Therefore, GCD of numbers 500, 776, 156 is 4

Finding GCD of 500, 776, 156 using Prime Factorization

Given Input Data is 500, 776, 156

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 776 is 2 x 2 x 2 x 97

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

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 500, 776, 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(500, 776) = 97000

GCD(500, 776) = ( 500 x 776 ) / 97000

GCD(500, 776) = 388000 / 97000

GCD(500, 776) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 156

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

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

GCD(4, 156) = 624 / 156

GCD(4, 156) = 4

GCD of 500, 776, 156 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 500, 776, 156

1. What is the GCD of 500, 776, 156?

GCD of 500, 776, 156 is 4


2. Where do I get the detailed procedure to find GCD of 500, 776, 156?

You can find a detailed procedure to find GCD of 500, 776, 156 on our page.


3. How to find GCD of 500, 776, 156 on a calculator?

You can find the GCD of 500, 776, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.