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GCD of 960, 997, 764, 917 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, 997, 764, 917 quickly. Get the easiest ways to solve the greatest common divisor of 960, 997, 764, 917 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 997, 764, 917 with Factoring?

Given Input numbers are 960, 997, 764, 917

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917


GCD of numbers is the greatest common divisor

So, the GCD (960, 997, 764, 917) = 1.

Find GCD of 960, 997, 764, 917 using Prime Factorization

Given numbers are 960, 997, 764, 917

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 997 are 997

Prime factors of 764 are 2 x 2 x 191

Prime factors of 917 are 7 x 131

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 960, 997, 764, 917 using LCM Formula

Given numbers are 960, 997, 764, 917

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

Apply this formula for all numbers.

Step1:

LCM(960, 997) = 957120

GCD(960, 997) = ( 960 x 997 ) / 957120

= 960 / 997

= 960


Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1


Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1


So, Greatest Common Divisor of 960, 997, 764, 917 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 997, 764, 917

Given numbers are 960, 997, 764, 917
The greatest common divisor of numbers 960, 997, 764, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 997, 764, 917 is 1.

FAQs on GCD of 960, 997, 764, 917 Calculator

1. What is the GCD of 960, 997, 764, 917?

GCD of given numbers 960, 997, 764, 917 is 1


2. How to calculate the greatest common divisor of 960, 997, 764, 917?

We can find the highest common divisor of 960, 997, 764, 917 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, 997, 764, 917 i.e 1.


3. How can I use the GCD of 960, 997, 764, 917Calculator?

Out the numbers 960, 997, 764, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.