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 228, 921, 708, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 921, 708, 625 is 1
GCD(228, 921, 708, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 921, 708, 625 is 1
GCD(228, 921, 708, 625) = 1
Given Input numbers are 228, 921, 708, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 228, 921, 708, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 921, 708, 625 is 1.
Therefore, GCD of numbers 228, 921, 708, 625 is 1
Given Input Data is 228, 921, 708, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 921 is 3 x 307
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 625 is 5 x 5 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(228, 921) = 69996
GCD(228, 921) = ( 228 x 921 ) / 69996
GCD(228, 921) = 209988 / 69996
GCD(228, 921) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
GCD(3, 708) = 2124 / 708
GCD(3, 708) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 625) = 1875
GCD(3, 625) = ( 3 x 625 ) / 1875
GCD(3, 625) = 1875 / 1875
GCD(3, 625) = 1
GCD of 228, 921, 708, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 921, 708, 625?
GCD of 228, 921, 708, 625 is 1
2. Where do I get the detailed procedure to find GCD of 228, 921, 708, 625?
You can find a detailed procedure to find GCD of 228, 921, 708, 625 on our page.
3. How to find GCD of 228, 921, 708, 625 on a calculator?
You can find the GCD of 228, 921, 708, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.