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 814, 251, 36 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 251, 36 is 1
GCD(814, 251, 36) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 251, 36 is 1
GCD(814, 251, 36) = 1
Given Input numbers are 814, 251, 36
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest Common Divisior
We found the divisors of 814, 251, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 251, 36 is 1.
Therefore, GCD of numbers 814, 251, 36 is 1
Given Input Data is 814, 251, 36
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 251 is 251
Prime Factorization of 36 is 2 x 2 x 3 x 3
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(814, 251) = 204314
GCD(814, 251) = ( 814 x 251 ) / 204314
GCD(814, 251) = 204314 / 204314
GCD(814, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
GCD of 814, 251, 36 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 251, 36?
GCD of 814, 251, 36 is 1
2. Where do I get the detailed procedure to find GCD of 814, 251, 36?
You can find a detailed procedure to find GCD of 814, 251, 36 on our page.
3. How to find GCD of 814, 251, 36 on a calculator?
You can find the GCD of 814, 251, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.