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 172, 875, 115, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 875, 115, 868 is 1
GCD(172, 875, 115, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 875, 115, 868 is 1
GCD(172, 875, 115, 868) = 1
Given Input numbers are 172, 875, 115, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
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 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
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
Greatest Common Divisior
We found the divisors of 172, 875, 115, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 875, 115, 868 is 1.
Therefore, GCD of numbers 172, 875, 115, 868 is 1
Given Input Data is 172, 875, 115, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 115 is 5 x 23
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(172, 875) = 150500
GCD(172, 875) = ( 172 x 875 ) / 150500
GCD(172, 875) = 150500 / 150500
GCD(172, 875) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 172, 875, 115, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 875, 115, 868?
GCD of 172, 875, 115, 868 is 1
2. Where do I get the detailed procedure to find GCD of 172, 875, 115, 868?
You can find a detailed procedure to find GCD of 172, 875, 115, 868 on our page.
3. How to find GCD of 172, 875, 115, 868 on a calculator?
You can find the GCD of 172, 875, 115, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.