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, 656, 76, 630 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 656, 76, 630 is 1
GCD(625, 656, 76, 630) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 656, 76, 630 is 1
GCD(625, 656, 76, 630) = 1
Given Input numbers are 625, 656, 76, 630
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 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Greatest Common Divisior
We found the divisors of 625, 656, 76, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 656, 76, 630 is 1.
Therefore, GCD of numbers 625, 656, 76, 630 is 1
Given Input Data is 625, 656, 76, 630
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 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
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, 656) = 410000
GCD(625, 656) = ( 625 x 656 ) / 410000
GCD(625, 656) = 410000 / 410000
GCD(625, 656) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 630) = 630
GCD(1, 630) = ( 1 x 630 ) / 630
GCD(1, 630) = 630 / 630
GCD(1, 630) = 1
GCD of 625, 656, 76, 630 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 656, 76, 630?
GCD of 625, 656, 76, 630 is 1
2. Where do I get the detailed procedure to find GCD of 625, 656, 76, 630?
You can find a detailed procedure to find GCD of 625, 656, 76, 630 on our page.
3. How to find GCD of 625, 656, 76, 630 on a calculator?
You can find the GCD of 625, 656, 76, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.