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, 825, 115, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 825, 115, 694 is 1
GCD(172, 825, 115, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 825, 115, 694 is 1
GCD(172, 825, 115, 694) = 1
Given Input numbers are 172, 825, 115, 694
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 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 172, 825, 115, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 825, 115, 694 is 1.
Therefore, GCD of numbers 172, 825, 115, 694 is 1
Given Input Data is 172, 825, 115, 694
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 825 is 3 x 5 x 5 x 11
Prime Factorization of 115 is 5 x 23
Prime Factorization of 694 is 2 x 347
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, 825) = 141900
GCD(172, 825) = ( 172 x 825 ) / 141900
GCD(172, 825) = 141900 / 141900
GCD(172, 825) = 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 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
GCD of 172, 825, 115, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 825, 115, 694?
GCD of 172, 825, 115, 694 is 1
2. Where do I get the detailed procedure to find GCD of 172, 825, 115, 694?
You can find a detailed procedure to find GCD of 172, 825, 115, 694 on our page.
3. How to find GCD of 172, 825, 115, 694 on a calculator?
You can find the GCD of 172, 825, 115, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.