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, 789, 900, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 789, 900, 628 is 1
GCD(625, 789, 900, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 789, 900, 628 is 1
GCD(625, 789, 900, 628) = 1
Given Input numbers are 625, 789, 900, 628
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 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 625, 789, 900, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 789, 900, 628 is 1.
Therefore, GCD of numbers 625, 789, 900, 628 is 1
Given Input Data is 625, 789, 900, 628
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 789 is 3 x 263
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 628 is 2 x 2 x 157
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, 789) = 493125
GCD(625, 789) = ( 625 x 789 ) / 493125
GCD(625, 789) = 493125 / 493125
GCD(625, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 625, 789, 900, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 789, 900, 628?
GCD of 625, 789, 900, 628 is 1
2. Where do I get the detailed procedure to find GCD of 625, 789, 900, 628?
You can find a detailed procedure to find GCD of 625, 789, 900, 628 on our page.
3. How to find GCD of 625, 789, 900, 628 on a calculator?
You can find the GCD of 625, 789, 900, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.