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 252, 912, 627, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 912, 627, 179 is 1
GCD(252, 912, 627, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 912, 627, 179 is 1
GCD(252, 912, 627, 179) = 1
Given Input numbers are 252, 912, 627, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 252, 912, 627, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 912, 627, 179 is 1.
Therefore, GCD of numbers 252, 912, 627, 179 is 1
Given Input Data is 252, 912, 627, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 179 is 179
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(252, 912) = 19152
GCD(252, 912) = ( 252 x 912 ) / 19152
GCD(252, 912) = 229824 / 19152
GCD(252, 912) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 627) = 2508
GCD(12, 627) = ( 12 x 627 ) / 2508
GCD(12, 627) = 7524 / 2508
GCD(12, 627) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 179) = 537
GCD(3, 179) = ( 3 x 179 ) / 537
GCD(3, 179) = 537 / 537
GCD(3, 179) = 1
GCD of 252, 912, 627, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 912, 627, 179?
GCD of 252, 912, 627, 179 is 1
2. Where do I get the detailed procedure to find GCD of 252, 912, 627, 179?
You can find a detailed procedure to find GCD of 252, 912, 627, 179 on our page.
3. How to find GCD of 252, 912, 627, 179 on a calculator?
You can find the GCD of 252, 912, 627, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.