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GCD of 117, 879, 960 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 117, 879, 960 quickly. Get the easiest ways to solve the greatest common divisor of 117, 879, 960 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 117, 879, 960 with Factoring?

Given Input numbers are 117, 879, 960

In the factoring method, we have to find the divisors of all numbers

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960


GCD of numbers is the greatest common divisor

So, the GCD (117, 879, 960) = 3.

Find GCD of 117, 879, 960 using Prime Factorization

Given numbers are 117, 879, 960

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 879 are 3 x 293

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 117, 879, 960 is 3.

Steps to Calculate GCD of 117, 879, 960 using LCM Formula

Given numbers are 117, 879, 960

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(117, 879) = 34281

GCD(117, 879) = ( 117 x 879 ) / 34281

= 117 / 879

= 117


Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3


So, Greatest Common Divisor of 117, 879, 960 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 117, 879, 960

Given numbers are 117, 879, 960
The greatest common divisor of numbers 117, 879, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 879, 960 is 3.

FAQs on GCD of 117, 879, 960 Calculator

1. What is the GCD of 117, 879, 960?

GCD of given numbers 117, 879, 960 is 3


2. How to calculate the greatest common divisor of 117, 879, 960?

We can find the highest common divisor of 117, 879, 960 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 117, 879, 960 i.e 3.


3. How can I use the GCD of 117, 879, 960Calculator?

Out the numbers 117, 879, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.