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 875, 868, 31, 622 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 868, 31, 622 is 1
GCD(875, 868, 31, 622) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 868, 31, 622 is 1
GCD(875, 868, 31, 622) = 1
Given Input numbers are 875, 868, 31, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 875, 868, 31, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 868, 31, 622 is 1.
Therefore, GCD of numbers 875, 868, 31, 622 is 1
Given Input Data is 875, 868, 31, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 31 is 31
Prime Factorization of 622 is 2 x 311
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(875, 868) = 108500
GCD(875, 868) = ( 875 x 868 ) / 108500
GCD(875, 868) = 759500 / 108500
GCD(875, 868) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 31) = 217
GCD(7, 31) = ( 7 x 31 ) / 217
GCD(7, 31) = 217 / 217
GCD(7, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
GCD(1, 622) = 622 / 622
GCD(1, 622) = 1
GCD of 875, 868, 31, 622 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 868, 31, 622?
GCD of 875, 868, 31, 622 is 1
2. Where do I get the detailed procedure to find GCD of 875, 868, 31, 622?
You can find a detailed procedure to find GCD of 875, 868, 31, 622 on our page.
3. How to find GCD of 875, 868, 31, 622 on a calculator?
You can find the GCD of 875, 868, 31, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.