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 868, 675, 171, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 868, 675, 171, 917 is 1
GCD(868, 675, 171, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 868, 675, 171, 917 is 1
GCD(868, 675, 171, 917) = 1
Given Input numbers are 868, 675, 171, 917
To find the GCD of numbers using factoring list out all the divisors of each number
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 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 868, 675, 171, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 675, 171, 917 is 1.
Therefore, GCD of numbers 868, 675, 171, 917 is 1
Given Input Data is 868, 675, 171, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 917 is 7 x 131
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(868, 675) = 585900
GCD(868, 675) = ( 868 x 675 ) / 585900
GCD(868, 675) = 585900 / 585900
GCD(868, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 868, 675, 171, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 868, 675, 171, 917?
GCD of 868, 675, 171, 917 is 1
2. Where do I get the detailed procedure to find GCD of 868, 675, 171, 917?
You can find a detailed procedure to find GCD of 868, 675, 171, 917 on our page.
3. How to find GCD of 868, 675, 171, 917 on a calculator?
You can find the GCD of 868, 675, 171, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.