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 318, 249, 722, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 249, 722, 636 is 1
GCD(318, 249, 722, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 249, 722, 636 is 1
GCD(318, 249, 722, 636) = 1
Given Input numbers are 318, 249, 722, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 318, 249, 722, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 249, 722, 636 is 1.
Therefore, GCD of numbers 318, 249, 722, 636 is 1
Given Input Data is 318, 249, 722, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 249 is 3 x 83
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 636 is 2 x 2 x 3 x 53
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(318, 249) = 26394
GCD(318, 249) = ( 318 x 249 ) / 26394
GCD(318, 249) = 79182 / 26394
GCD(318, 249) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 722) = 2166
GCD(3, 722) = ( 3 x 722 ) / 2166
GCD(3, 722) = 2166 / 2166
GCD(3, 722) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
GCD(1, 636) = 636 / 636
GCD(1, 636) = 1
GCD of 318, 249, 722, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 249, 722, 636?
GCD of 318, 249, 722, 636 is 1
2. Where do I get the detailed procedure to find GCD of 318, 249, 722, 636?
You can find a detailed procedure to find GCD of 318, 249, 722, 636 on our page.
3. How to find GCD of 318, 249, 722, 636 on a calculator?
You can find the GCD of 318, 249, 722, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.