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 68, 852, 115, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 852, 115, 725 is 1
GCD(68, 852, 115, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 852, 115, 725 is 1
GCD(68, 852, 115, 725) = 1
Given Input numbers are 68, 852, 115, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 68, 852, 115, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 852, 115, 725 is 1.
Therefore, GCD of numbers 68, 852, 115, 725 is 1
Given Input Data is 68, 852, 115, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 115 is 5 x 23
Prime Factorization of 725 is 5 x 5 x 29
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(68, 852) = 14484
GCD(68, 852) = ( 68 x 852 ) / 14484
GCD(68, 852) = 57936 / 14484
GCD(68, 852) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 115) = 460
GCD(4, 115) = ( 4 x 115 ) / 460
GCD(4, 115) = 460 / 460
GCD(4, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 68, 852, 115, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 852, 115, 725?
GCD of 68, 852, 115, 725 is 1
2. Where do I get the detailed procedure to find GCD of 68, 852, 115, 725?
You can find a detailed procedure to find GCD of 68, 852, 115, 725 on our page.
3. How to find GCD of 68, 852, 115, 725 on a calculator?
You can find the GCD of 68, 852, 115, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.