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 637, 642, 25, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 642, 25, 873 is 1
GCD(637, 642, 25, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 642, 25, 873 is 1
GCD(637, 642, 25, 873) = 1
Given Input numbers are 637, 642, 25, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 637, 642, 25, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 642, 25, 873 is 1.
Therefore, GCD of numbers 637, 642, 25, 873 is 1
Given Input Data is 637, 642, 25, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 25 is 5 x 5
Prime Factorization of 873 is 3 x 3 x 97
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(637, 642) = 408954
GCD(637, 642) = ( 637 x 642 ) / 408954
GCD(637, 642) = 408954 / 408954
GCD(637, 642) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 637, 642, 25, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 642, 25, 873?
GCD of 637, 642, 25, 873 is 1
2. Where do I get the detailed procedure to find GCD of 637, 642, 25, 873?
You can find a detailed procedure to find GCD of 637, 642, 25, 873 on our page.
3. How to find GCD of 637, 642, 25, 873 on a calculator?
You can find the GCD of 637, 642, 25, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.