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, 902, 502, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 902, 502, 386 is 1
GCD(21, 902, 502, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 902, 502, 386 is 1
GCD(21, 902, 502, 386) = 1
Given Input numbers are 21, 902, 502, 386
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 21, 902, 502, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 902, 502, 386 is 1.
Therefore, GCD of numbers 21, 902, 502, 386 is 1
Given Input Data is 21, 902, 502, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 502 is 2 x 251
Prime Factorization of 386 is 2 x 193
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, 902) = 18942
GCD(21, 902) = ( 21 x 902 ) / 18942
GCD(21, 902) = 18942 / 18942
GCD(21, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 21, 902, 502, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 902, 502, 386?
GCD of 21, 902, 502, 386 is 1
2. Where do I get the detailed procedure to find GCD of 21, 902, 502, 386?
You can find a detailed procedure to find GCD of 21, 902, 502, 386 on our page.
3. How to find GCD of 21, 902, 502, 386 on a calculator?
You can find the GCD of 21, 902, 502, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.