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, 258, 65, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 258, 65, 715 is 1
GCD(636, 258, 65, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 258, 65, 715 is 1
GCD(636, 258, 65, 715) = 1
Given Input numbers are 636, 258, 65, 715
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 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 636, 258, 65, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 258, 65, 715 is 1.
Therefore, GCD of numbers 636, 258, 65, 715 is 1
Given Input Data is 636, 258, 65, 715
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 258 is 2 x 3 x 43
Prime Factorization of 65 is 5 x 13
Prime Factorization of 715 is 5 x 11 x 13
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, 258) = 27348
GCD(636, 258) = ( 636 x 258 ) / 27348
GCD(636, 258) = 164088 / 27348
GCD(636, 258) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 65) = 390
GCD(6, 65) = ( 6 x 65 ) / 390
GCD(6, 65) = 390 / 390
GCD(6, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
GCD(1, 715) = 715 / 715
GCD(1, 715) = 1
GCD of 636, 258, 65, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 258, 65, 715?
GCD of 636, 258, 65, 715 is 1
2. Where do I get the detailed procedure to find GCD of 636, 258, 65, 715?
You can find a detailed procedure to find GCD of 636, 258, 65, 715 on our page.
3. How to find GCD of 636, 258, 65, 715 on a calculator?
You can find the GCD of 636, 258, 65, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.