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 413, 618, 20, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 618, 20, 864 is 1
GCD(413, 618, 20, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 618, 20, 864 is 1
GCD(413, 618, 20, 864) = 1
Given Input numbers are 413, 618, 20, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 413, 618, 20, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 618, 20, 864 is 1.
Therefore, GCD of numbers 413, 618, 20, 864 is 1
Given Input Data is 413, 618, 20, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
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(413, 618) = 255234
GCD(413, 618) = ( 413 x 618 ) / 255234
GCD(413, 618) = 255234 / 255234
GCD(413, 618) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 413, 618, 20, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 618, 20, 864?
GCD of 413, 618, 20, 864 is 1
2. Where do I get the detailed procedure to find GCD of 413, 618, 20, 864?
You can find a detailed procedure to find GCD of 413, 618, 20, 864 on our page.
3. How to find GCD of 413, 618, 20, 864 on a calculator?
You can find the GCD of 413, 618, 20, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.