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 numbers 978, 956, 888, 264 is 2
GCD(978, 956, 888, 264) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.