GCD of 917, 252, 99, 960 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 917, 252, 99, 960 i.e. 1 largest integer that divides all the numbers equally.

GCD of 917, 252, 99, 960 is 1

GCD(917, 252, 99, 960) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 917, 252, 99, 960 is 1

GCD(917, 252, 99, 960) = 1

GCD of 917,252,99,960 Calculator

GCDof 917,252,99,960 is 1

Given Input numbers are 917, 252, 99, 960

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

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

Greatest Common Divisior

We found the divisors of 917, 252, 99, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 252, 99, 960 is 1.

Therefore, GCD of numbers 917, 252, 99, 960 is 1

Finding GCD of 917, 252, 99, 960 using Prime Factorization

Given Input Data is 917, 252, 99, 960

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 917 is 7 x 131

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 917, 252, 99, 960 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(917, 252) = 33012

GCD(917, 252) = ( 917 x 252 ) / 33012

GCD(917, 252) = 231084 / 33012

GCD(917, 252) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 99

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

LCM(7, 99) = 693

GCD(7, 99) = ( 7 x 99 ) / 693

GCD(7, 99) = 693 / 693

GCD(7, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 917, 252, 99, 960 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 917, 252, 99, 960

1. What is the GCD of 917, 252, 99, 960?

GCD of 917, 252, 99, 960 is 1


2. Where do I get the detailed procedure to find GCD of 917, 252, 99, 960?

You can find a detailed procedure to find GCD of 917, 252, 99, 960 on our page.


3. How to find GCD of 917, 252, 99, 960 on a calculator?

You can find the GCD of 917, 252, 99, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.