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GCD of 960, 117, 771 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 117, 771 quickly. Get the easiest ways to solve the greatest common divisor of 960, 117, 771 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 117, 771 with Factoring?

Given Input numbers are 960, 117, 771

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

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

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771


GCD of numbers is the greatest common divisor

So, the GCD (960, 117, 771) = 3.

Find GCD of 960, 117, 771 using Prime Factorization

Given numbers are 960, 117, 771

The list of prime factors of all numbers are

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

Prime factors of 117 are 3 x 3 x 13

Prime factors of 771 are 3 x 257

The highest common occurrence is 31

Therefore, GCD of 960, 117, 771 is 3.

Steps to Calculate GCD of 960, 117, 771 using LCM Formula

Given numbers are 960, 117, 771

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

Apply this formula for all numbers.

Step1:

LCM(960, 117) = 37440

GCD(960, 117) = ( 960 x 117 ) / 37440

= 960 / 117

= 960


Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3


So, Greatest Common Divisor of 960, 117, 771 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 117, 771

Given numbers are 960, 117, 771
The greatest common divisor of numbers 960, 117, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 117, 771 is 3.

FAQs on GCD of 960, 117, 771 Calculator

1. What is the GCD of 960, 117, 771?

GCD of given numbers 960, 117, 771 is 3


2. How to calculate the greatest common divisor of 960, 117, 771?

We can find the highest common divisor of 960, 117, 771 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 960, 117, 771 i.e 3.


3. How can I use the GCD of 960, 117, 771Calculator?

Out the numbers 960, 117, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.