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 415, 220, 39 i.e. 1 largest integer that divides all the numbers equally.
GCD of 415, 220, 39 is 1
GCD(415, 220, 39) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 415, 220, 39 is 1
GCD(415, 220, 39) = 1
Given Input numbers are 415, 220, 39
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Greatest Common Divisior
We found the divisors of 415, 220, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 220, 39 is 1.
Therefore, GCD of numbers 415, 220, 39 is 1
Given Input Data is 415, 220, 39
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 415 is 5 x 83
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 39 is 3 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(415, 220) = 18260
GCD(415, 220) = ( 415 x 220 ) / 18260
GCD(415, 220) = 91300 / 18260
GCD(415, 220) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 39) = 195
GCD(5, 39) = ( 5 x 39 ) / 195
GCD(5, 39) = 195 / 195
GCD(5, 39) = 1
GCD of 415, 220, 39 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 415, 220, 39?
GCD of 415, 220, 39 is 1
2. Where do I get the detailed procedure to find GCD of 415, 220, 39?
You can find a detailed procedure to find GCD of 415, 220, 39 on our page.
3. How to find GCD of 415, 220, 39 on a calculator?
You can find the GCD of 415, 220, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.