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 636, 816, 74, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 816, 74, 251 is 1
GCD(636, 816, 74, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 816, 74, 251 is 1
GCD(636, 816, 74, 251) = 1
Given Input numbers are 636, 816, 74, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 636, 816, 74, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 816, 74, 251 is 1.
Therefore, GCD of numbers 636, 816, 74, 251 is 1
Given Input Data is 636, 816, 74, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 74 is 2 x 37
Prime Factorization of 251 is 251
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(636, 816) = 43248
GCD(636, 816) = ( 636 x 816 ) / 43248
GCD(636, 816) = 518976 / 43248
GCD(636, 816) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 74) = 444
GCD(12, 74) = ( 12 x 74 ) / 444
GCD(12, 74) = 888 / 444
GCD(12, 74) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 251) = 502
GCD(2, 251) = ( 2 x 251 ) / 502
GCD(2, 251) = 502 / 502
GCD(2, 251) = 1
GCD of 636, 816, 74, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 816, 74, 251?
GCD of 636, 816, 74, 251 is 1
2. Where do I get the detailed procedure to find GCD of 636, 816, 74, 251?
You can find a detailed procedure to find GCD of 636, 816, 74, 251 on our page.
3. How to find GCD of 636, 816, 74, 251 on a calculator?
You can find the GCD of 636, 816, 74, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.