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, 392, 285, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 392, 285, 891 is 1
GCD(21, 392, 285, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 392, 285, 891 is 1
GCD(21, 392, 285, 891) = 1
Given Input numbers are 21, 392, 285, 891
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 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 21, 392, 285, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 392, 285, 891 is 1.
Therefore, GCD of numbers 21, 392, 285, 891 is 1
Given Input Data is 21, 392, 285, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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, 392) = 1176
GCD(21, 392) = ( 21 x 392 ) / 1176
GCD(21, 392) = 8232 / 1176
GCD(21, 392) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 285) = 1995
GCD(7, 285) = ( 7 x 285 ) / 1995
GCD(7, 285) = 1995 / 1995
GCD(7, 285) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 21, 392, 285, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 392, 285, 891?
GCD of 21, 392, 285, 891 is 1
2. Where do I get the detailed procedure to find GCD of 21, 392, 285, 891?
You can find a detailed procedure to find GCD of 21, 392, 285, 891 on our page.
3. How to find GCD of 21, 392, 285, 891 on a calculator?
You can find the GCD of 21, 392, 285, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.