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 847, 188, 21, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 188, 21, 304 is 1
GCD(847, 188, 21, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 188, 21, 304 is 1
GCD(847, 188, 21, 304) = 1
Given Input numbers are 847, 188, 21, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 847, 188, 21, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 188, 21, 304 is 1.
Therefore, GCD of numbers 847, 188, 21, 304 is 1
Given Input Data is 847, 188, 21, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 21 is 3 x 7
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(847, 188) = 159236
GCD(847, 188) = ( 847 x 188 ) / 159236
GCD(847, 188) = 159236 / 159236
GCD(847, 188) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 847, 188, 21, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 188, 21, 304?
GCD of 847, 188, 21, 304 is 1
2. Where do I get the detailed procedure to find GCD of 847, 188, 21, 304?
You can find a detailed procedure to find GCD of 847, 188, 21, 304 on our page.
3. How to find GCD of 847, 188, 21, 304 on a calculator?
You can find the GCD of 847, 188, 21, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.