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, 358, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 358, 171 is 1
GCD(636, 358, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 358, 171 is 1
GCD(636, 358, 171) = 1
Given Input numbers are 636, 358, 171
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 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 636, 358, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 358, 171 is 1.
Therefore, GCD of numbers 636, 358, 171 is 1
Given Input Data is 636, 358, 171
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 358 is 2 x 179
Prime Factorization of 171 is 3 x 3 x 19
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, 358) = 113844
GCD(636, 358) = ( 636 x 358 ) / 113844
GCD(636, 358) = 227688 / 113844
GCD(636, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 171) = 342
GCD(2, 171) = ( 2 x 171 ) / 342
GCD(2, 171) = 342 / 342
GCD(2, 171) = 1
GCD of 636, 358, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 358, 171?
GCD of 636, 358, 171 is 1
2. Where do I get the detailed procedure to find GCD of 636, 358, 171?
You can find a detailed procedure to find GCD of 636, 358, 171 on our page.
3. How to find GCD of 636, 358, 171 on a calculator?
You can find the GCD of 636, 358, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.