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, 168, 58, 813 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 168, 58, 813 is 1
GCD(636, 168, 58, 813) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 168, 58, 813 is 1
GCD(636, 168, 58, 813) = 1
Given Input numbers are 636, 168, 58, 813
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Greatest Common Divisior
We found the divisors of 636, 168, 58, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 168, 58, 813 is 1.
Therefore, GCD of numbers 636, 168, 58, 813 is 1
Given Input Data is 636, 168, 58, 813
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 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 58 is 2 x 29
Prime Factorization of 813 is 3 x 271
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, 168) = 8904
GCD(636, 168) = ( 636 x 168 ) / 8904
GCD(636, 168) = 106848 / 8904
GCD(636, 168) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 58) = 348
GCD(12, 58) = ( 12 x 58 ) / 348
GCD(12, 58) = 696 / 348
GCD(12, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 813) = 1626
GCD(2, 813) = ( 2 x 813 ) / 1626
GCD(2, 813) = 1626 / 1626
GCD(2, 813) = 1
GCD of 636, 168, 58, 813 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 168, 58, 813?
GCD of 636, 168, 58, 813 is 1
2. Where do I get the detailed procedure to find GCD of 636, 168, 58, 813?
You can find a detailed procedure to find GCD of 636, 168, 58, 813 on our page.
3. How to find GCD of 636, 168, 58, 813 on a calculator?
You can find the GCD of 636, 168, 58, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.