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 90, 912, 952, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 912, 952, 879 is 1
GCD(90, 912, 952, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 912, 952, 879 is 1
GCD(90, 912, 952, 879) = 1
Given Input numbers are 90, 912, 952, 879
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 90, 912, 952, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 912, 952, 879 is 1.
Therefore, GCD of numbers 90, 912, 952, 879 is 1
Given Input Data is 90, 912, 952, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 879 is 3 x 293
The above numbers do not have any common prime factor. So GCD is 1
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(90, 912) = 13680
GCD(90, 912) = ( 90 x 912 ) / 13680
GCD(90, 912) = 82080 / 13680
GCD(90, 912) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 952) = 2856
GCD(6, 952) = ( 6 x 952 ) / 2856
GCD(6, 952) = 5712 / 2856
GCD(6, 952) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 879) = 1758
GCD(2, 879) = ( 2 x 879 ) / 1758
GCD(2, 879) = 1758 / 1758
GCD(2, 879) = 1
GCD of 90, 912, 952, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 912, 952, 879?
GCD of 90, 912, 952, 879 is 1
2. Where do I get the detailed procedure to find GCD of 90, 912, 952, 879?
You can find a detailed procedure to find GCD of 90, 912, 952, 879 on our page.
3. How to find GCD of 90, 912, 952, 879 on a calculator?
You can find the GCD of 90, 912, 952, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.