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 numbers 22, 747, 960, 364 is 1
GCD(22, 747, 960, 364) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.