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 339, 370, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 370, 21 is 1
GCD(339, 370, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 370, 21 is 1
GCD(339, 370, 21) = 1
Given Input numbers are 339, 370, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 339, 370, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 370, 21 is 1.
Therefore, GCD of numbers 339, 370, 21 is 1
Given Input Data is 339, 370, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 21 is 3 x 7
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(339, 370) = 125430
GCD(339, 370) = ( 339 x 370 ) / 125430
GCD(339, 370) = 125430 / 125430
GCD(339, 370) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
GCD of 339, 370, 21 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 370, 21?
GCD of 339, 370, 21 is 1
2. Where do I get the detailed procedure to find GCD of 339, 370, 21?
You can find a detailed procedure to find GCD of 339, 370, 21 on our page.
3. How to find GCD of 339, 370, 21 on a calculator?
You can find the GCD of 339, 370, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.