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 355, 625, 68, 115 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 625, 68, 115 is 1
GCD(355, 625, 68, 115) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 625, 68, 115 is 1
GCD(355, 625, 68, 115) = 1
Given Input numbers are 355, 625, 68, 115
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Greatest Common Divisior
We found the divisors of 355, 625, 68, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 625, 68, 115 is 1.
Therefore, GCD of numbers 355, 625, 68, 115 is 1
Given Input Data is 355, 625, 68, 115
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 115 is 5 x 23
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(355, 625) = 44375
GCD(355, 625) = ( 355 x 625 ) / 44375
GCD(355, 625) = 221875 / 44375
GCD(355, 625) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 68) = 340
GCD(5, 68) = ( 5 x 68 ) / 340
GCD(5, 68) = 340 / 340
GCD(5, 68) = 1
Step3:
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
GCD of 355, 625, 68, 115 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 625, 68, 115?
GCD of 355, 625, 68, 115 is 1
2. Where do I get the detailed procedure to find GCD of 355, 625, 68, 115?
You can find a detailed procedure to find GCD of 355, 625, 68, 115 on our page.
3. How to find GCD of 355, 625, 68, 115 on a calculator?
You can find the GCD of 355, 625, 68, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.