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, 908, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 908, 960 is 1
GCD(625, 908, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 908, 960 is 1
GCD(625, 908, 960) = 1
Given Input numbers are 625, 908, 960
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 625, 908, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 908, 960 is 1.
Therefore, GCD of numbers 625, 908, 960 is 1
Given Input Data is 625, 908, 960
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 908 is 2 x 2 x 227
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 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(625, 908) = 567500
GCD(625, 908) = ( 625 x 908 ) / 567500
GCD(625, 908) = 567500 / 567500
GCD(625, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
GCD of 625, 908, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 908, 960?
GCD of 625, 908, 960 is 1
2. Where do I get the detailed procedure to find GCD of 625, 908, 960?
You can find a detailed procedure to find GCD of 625, 908, 960 on our page.
3. How to find GCD of 625, 908, 960 on a calculator?
You can find the GCD of 625, 908, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.