GCD of 22, 747, 960, 364 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 22, 747, 960, 364 i.e. 1 largest integer that divides all the numbers equally.

GCD of 22, 747, 960, 364 is 1

GCD(22, 747, 960, 364) = 1

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

GCD of

GCD of numbers 22, 747, 960, 364 is 1

GCD(22, 747, 960, 364) = 1

GCD of 22,747,960,364 Calculator

GCDof 22,747,960,364 is 1

Given Input numbers are 22, 747, 960, 364

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 22, 747, 960, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 747, 960, 364 is 1.

Therefore, GCD of numbers 22, 747, 960, 364 is 1

Finding GCD of 22, 747, 960, 364 using Prime Factorization

Given Input Data is 22, 747, 960, 364

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 747 is 3 x 3 x 83

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Finding GCD of 22, 747, 960, 364 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(22, 747) = 16434

GCD(22, 747) = ( 22 x 747 ) / 16434

GCD(22, 747) = 16434 / 16434

GCD(22, 747) = 1


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 22, 747, 960, 364 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 22, 747, 960, 364

1. What is the GCD of 22, 747, 960, 364?

GCD of 22, 747, 960, 364 is 1


2. Where do I get the detailed procedure to find GCD of 22, 747, 960, 364?

You can find a detailed procedure to find GCD of 22, 747, 960, 364 on our page.


3. How to find GCD of 22, 747, 960, 364 on a calculator?

You can find the GCD of 22, 747, 960, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.