GCD of 978, 956, 888, 264 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 978, 956, 888, 264 i.e. 2 largest integer that divides all the numbers equally.

GCD of 978, 956, 888, 264 is 2

GCD(978, 956, 888, 264) = 2

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

GCD of

GCD of numbers 978, 956, 888, 264 is 2

GCD(978, 956, 888, 264) = 2

GCD of 978,956,888,264 Calculator

GCDof 978,956,888,264 is 2

Given Input numbers are 978, 956, 888, 264

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 978, 956, 888, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 956, 888, 264 is 2.

Therefore, GCD of numbers 978, 956, 888, 264 is 2

Finding GCD of 978, 956, 888, 264 using Prime Factorization

Given Input Data is 978, 956, 888, 264

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 978, 956, 888, 264 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(978, 956) = 467484

GCD(978, 956) = ( 978 x 956 ) / 467484

GCD(978, 956) = 934968 / 467484

GCD(978, 956) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 978, 956, 888, 264 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 978, 956, 888, 264

1. What is the GCD of 978, 956, 888, 264?

GCD of 978, 956, 888, 264 is 2


2. Where do I get the detailed procedure to find GCD of 978, 956, 888, 264?

You can find a detailed procedure to find GCD of 978, 956, 888, 264 on our page.


3. How to find GCD of 978, 956, 888, 264 on a calculator?

You can find the GCD of 978, 956, 888, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.