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, 851, 381, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 851, 381, 995 is 1
GCD(21, 851, 381, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 851, 381, 995 is 1
GCD(21, 851, 381, 995) = 1
Given Input numbers are 21, 851, 381, 995
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 21, 851, 381, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 851, 381, 995 is 1.
Therefore, GCD of numbers 21, 851, 381, 995 is 1
Given Input Data is 21, 851, 381, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 851 is 23 x 37
Prime Factorization of 381 is 3 x 127
Prime Factorization of 995 is 5 x 199
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, 851) = 17871
GCD(21, 851) = ( 21 x 851 ) / 17871
GCD(21, 851) = 17871 / 17871
GCD(21, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 21, 851, 381, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 851, 381, 995?
GCD of 21, 851, 381, 995 is 1
2. Where do I get the detailed procedure to find GCD of 21, 851, 381, 995?
You can find a detailed procedure to find GCD of 21, 851, 381, 995 on our page.
3. How to find GCD of 21, 851, 381, 995 on a calculator?
You can find the GCD of 21, 851, 381, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.