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, 218, 19, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 218, 19, 780 is 1
GCD(636, 218, 19, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 218, 19, 780 is 1
GCD(636, 218, 19, 780) = 1
Given Input numbers are 636, 218, 19, 780
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 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 636, 218, 19, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 218, 19, 780 is 1.
Therefore, GCD of numbers 636, 218, 19, 780 is 1
Given Input Data is 636, 218, 19, 780
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 218 is 2 x 109
Prime Factorization of 19 is 19
Prime Factorization of 780 is 2 x 2 x 3 x 5 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, 218) = 69324
GCD(636, 218) = ( 636 x 218 ) / 69324
GCD(636, 218) = 138648 / 69324
GCD(636, 218) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 19) = 38
GCD(2, 19) = ( 2 x 19 ) / 38
GCD(2, 19) = 38 / 38
GCD(2, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 636, 218, 19, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 218, 19, 780?
GCD of 636, 218, 19, 780 is 1
2. Where do I get the detailed procedure to find GCD of 636, 218, 19, 780?
You can find a detailed procedure to find GCD of 636, 218, 19, 780 on our page.
3. How to find GCD of 636, 218, 19, 780 on a calculator?
You can find the GCD of 636, 218, 19, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.