GCD of 864, 977, 756, 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 864, 977, 756, 156 i.e. 1 largest integer that divides all the numbers equally.

GCD of 864, 977, 756, 156 is 1

GCD(864, 977, 756, 156) = 1

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

GCD of

GCD of numbers 864, 977, 756, 156 is 1

GCD(864, 977, 756, 156) = 1

GCD of 864,977,756,156 Calculator

GCDof 864,977,756,156 is 1

Given Input numbers are 864, 977, 756, 156

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 864, 977, 756, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 977, 756, 156 is 1.

Therefore, GCD of numbers 864, 977, 756, 156 is 1

Finding GCD of 864, 977, 756, 156 using Prime Factorization

Given Input Data is 864, 977, 756, 156

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 977 is 977

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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 864, 977, 756, 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(864, 977) = 844128

GCD(864, 977) = ( 864 x 977 ) / 844128

GCD(864, 977) = 844128 / 844128

GCD(864, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 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 864, 977, 756, 156 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 864, 977, 756, 156

1. What is the GCD of 864, 977, 756, 156?

GCD of 864, 977, 756, 156 is 1


2. Where do I get the detailed procedure to find GCD of 864, 977, 756, 156?

You can find a detailed procedure to find GCD of 864, 977, 756, 156 on our page.


3. How to find GCD of 864, 977, 756, 156 on a calculator?

You can find the GCD of 864, 977, 756, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.