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 28, 604, 456, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 604, 456, 631 is 1
GCD(28, 604, 456, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 604, 456, 631 is 1
GCD(28, 604, 456, 631) = 1
Given Input numbers are 28, 604, 456, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 28, 604, 456, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 604, 456, 631 is 1.
Therefore, GCD of numbers 28, 604, 456, 631 is 1
Given Input Data is 28, 604, 456, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 631 is 631
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(28, 604) = 4228
GCD(28, 604) = ( 28 x 604 ) / 4228
GCD(28, 604) = 16912 / 4228
GCD(28, 604) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 456) = 456
GCD(4, 456) = ( 4 x 456 ) / 456
GCD(4, 456) = 1824 / 456
GCD(4, 456) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 631) = 2524
GCD(4, 631) = ( 4 x 631 ) / 2524
GCD(4, 631) = 2524 / 2524
GCD(4, 631) = 1
GCD of 28, 604, 456, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 604, 456, 631?
GCD of 28, 604, 456, 631 is 1
2. Where do I get the detailed procedure to find GCD of 28, 604, 456, 631?
You can find a detailed procedure to find GCD of 28, 604, 456, 631 on our page.
3. How to find GCD of 28, 604, 456, 631 on a calculator?
You can find the GCD of 28, 604, 456, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.