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 637, 225, 366, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 225, 366, 972 is 1
GCD(637, 225, 366, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 225, 366, 972 is 1
GCD(637, 225, 366, 972) = 1
Given Input numbers are 637, 225, 366, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 637, 225, 366, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 225, 366, 972 is 1.
Therefore, GCD of numbers 637, 225, 366, 972 is 1
Given Input Data is 637, 225, 366, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(637, 225) = 143325
GCD(637, 225) = ( 637 x 225 ) / 143325
GCD(637, 225) = 143325 / 143325
GCD(637, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 637, 225, 366, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 225, 366, 972?
GCD of 637, 225, 366, 972 is 1
2. Where do I get the detailed procedure to find GCD of 637, 225, 366, 972?
You can find a detailed procedure to find GCD of 637, 225, 366, 972 on our page.
3. How to find GCD of 637, 225, 366, 972 on a calculator?
You can find the GCD of 637, 225, 366, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.