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 15, 20, 57 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 20, 57 is 1
GCD(15, 20, 57) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 20, 57 is 1
GCD(15, 20, 57) = 1
Given Input numbers are 15, 20, 57
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Greatest Common Divisior
We found the divisors of 15, 20, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 20, 57 is 1.
Therefore, GCD of numbers 15, 20, 57 is 1
Given Input Data is 15, 20, 57
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 57 is 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(15, 20) = 60
GCD(15, 20) = ( 15 x 20 ) / 60
GCD(15, 20) = 300 / 60
GCD(15, 20) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 57) = 285
GCD(5, 57) = ( 5 x 57 ) / 285
GCD(5, 57) = 285 / 285
GCD(5, 57) = 1
GCD of 15, 20, 57 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 20, 57?
GCD of 15, 20, 57 is 1
2. Where do I get the detailed procedure to find GCD of 15, 20, 57?
You can find a detailed procedure to find GCD of 15, 20, 57 on our page.
3. How to find GCD of 15, 20, 57 on a calculator?
You can find the GCD of 15, 20, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.