GCD of 90, 912, 952, 879 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 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

GCD of numbers 90, 912, 952, 879 is 1

GCD(90, 912, 952, 879) = 1

GCD of 90,912,952,879 Calculator

GCDof 90,912,952,879 is 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

Finding GCD of 90, 912, 952, 879 using Prime Factorization

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

Finding GCD of 90, 912, 952, 879 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(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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 90, 912, 952, 879

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.