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 815, 239, 60, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 239, 60, 253 is 1
GCD(815, 239, 60, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 239, 60, 253 is 1
GCD(815, 239, 60, 253) = 1
Given Input numbers are 815, 239, 60, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 815, 239, 60, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 239, 60, 253 is 1.
Therefore, GCD of numbers 815, 239, 60, 253 is 1
Given Input Data is 815, 239, 60, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 239 is 239
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 253 is 11 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(815, 239) = 194785
GCD(815, 239) = ( 815 x 239 ) / 194785
GCD(815, 239) = 194785 / 194785
GCD(815, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 815, 239, 60, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 239, 60, 253?
GCD of 815, 239, 60, 253 is 1
2. Where do I get the detailed procedure to find GCD of 815, 239, 60, 253?
You can find a detailed procedure to find GCD of 815, 239, 60, 253 on our page.
3. How to find GCD of 815, 239, 60, 253 on a calculator?
You can find the GCD of 815, 239, 60, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.