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 21, 373, 656, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 373, 656, 390 is 1
GCD(21, 373, 656, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 373, 656, 390 is 1
GCD(21, 373, 656, 390) = 1
Given Input numbers are 21, 373, 656, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 21, 373, 656, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 373, 656, 390 is 1.
Therefore, GCD of numbers 21, 373, 656, 390 is 1
Given Input Data is 21, 373, 656, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 373 is 373
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 390 is 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(21, 373) = 7833
GCD(21, 373) = ( 21 x 373 ) / 7833
GCD(21, 373) = 7833 / 7833
GCD(21, 373) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 21, 373, 656, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 373, 656, 390?
GCD of 21, 373, 656, 390 is 1
2. Where do I get the detailed procedure to find GCD of 21, 373, 656, 390?
You can find a detailed procedure to find GCD of 21, 373, 656, 390 on our page.
3. How to find GCD of 21, 373, 656, 390 on a calculator?
You can find the GCD of 21, 373, 656, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.