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 625, 314, 36, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 314, 36, 564 is 1
GCD(625, 314, 36, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 314, 36, 564 is 1
GCD(625, 314, 36, 564) = 1
Given Input numbers are 625, 314, 36, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 625, 314, 36, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 314, 36, 564 is 1.
Therefore, GCD of numbers 625, 314, 36, 564 is 1
Given Input Data is 625, 314, 36, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 314 is 2 x 157
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(625, 314) = 196250
GCD(625, 314) = ( 625 x 314 ) / 196250
GCD(625, 314) = 196250 / 196250
GCD(625, 314) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 625, 314, 36, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 314, 36, 564?
GCD of 625, 314, 36, 564 is 1
2. Where do I get the detailed procedure to find GCD of 625, 314, 36, 564?
You can find a detailed procedure to find GCD of 625, 314, 36, 564 on our page.
3. How to find GCD of 625, 314, 36, 564 on a calculator?
You can find the GCD of 625, 314, 36, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.