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 903, 637, 857, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 637, 857, 658 is 1
GCD(903, 637, 857, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 637, 857, 658 is 1
GCD(903, 637, 857, 658) = 1
Given Input numbers are 903, 637, 857, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 903, 637, 857, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 637, 857, 658 is 1.
Therefore, GCD of numbers 903, 637, 857, 658 is 1
Given Input Data is 903, 637, 857, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 857 is 857
Prime Factorization of 658 is 2 x 7 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(903, 637) = 82173
GCD(903, 637) = ( 903 x 637 ) / 82173
GCD(903, 637) = 575211 / 82173
GCD(903, 637) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 857) = 5999
GCD(7, 857) = ( 7 x 857 ) / 5999
GCD(7, 857) = 5999 / 5999
GCD(7, 857) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 903, 637, 857, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 637, 857, 658?
GCD of 903, 637, 857, 658 is 1
2. Where do I get the detailed procedure to find GCD of 903, 637, 857, 658?
You can find a detailed procedure to find GCD of 903, 637, 857, 658 on our page.
3. How to find GCD of 903, 637, 857, 658 on a calculator?
You can find the GCD of 903, 637, 857, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.