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 972, 629, 49, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 629, 49, 225 is 1
GCD(972, 629, 49, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 629, 49, 225 is 1
GCD(972, 629, 49, 225) = 1
Given Input numbers are 972, 629, 49, 225
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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
Greatest Common Divisior
We found the divisors of 972, 629, 49, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 629, 49, 225 is 1.
Therefore, GCD of numbers 972, 629, 49, 225 is 1
Given Input Data is 972, 629, 49, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 629 is 17 x 37
Prime Factorization of 49 is 7 x 7
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(972, 629) = 611388
GCD(972, 629) = ( 972 x 629 ) / 611388
GCD(972, 629) = 611388 / 611388
GCD(972, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 972, 629, 49, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 629, 49, 225?
GCD of 972, 629, 49, 225 is 1
2. Where do I get the detailed procedure to find GCD of 972, 629, 49, 225?
You can find a detailed procedure to find GCD of 972, 629, 49, 225 on our page.
3. How to find GCD of 972, 629, 49, 225 on a calculator?
You can find the GCD of 972, 629, 49, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.