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, 483, 684, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 483, 684, 322 is 1
GCD(847, 483, 684, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 483, 684, 322 is 1
GCD(847, 483, 684, 322) = 1
Given Input numbers are 847, 483, 684, 322
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 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 847, 483, 684, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 483, 684, 322 is 1.
Therefore, GCD of numbers 847, 483, 684, 322 is 1
Given Input Data is 847, 483, 684, 322
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 483 is 3 x 7 x 23
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 322 is 2 x 7 x 23
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, 483) = 58443
GCD(847, 483) = ( 847 x 483 ) / 58443
GCD(847, 483) = 409101 / 58443
GCD(847, 483) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 684) = 4788
GCD(7, 684) = ( 7 x 684 ) / 4788
GCD(7, 684) = 4788 / 4788
GCD(7, 684) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 847, 483, 684, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 483, 684, 322?
GCD of 847, 483, 684, 322 is 1
2. Where do I get the detailed procedure to find GCD of 847, 483, 684, 322?
You can find a detailed procedure to find GCD of 847, 483, 684, 322 on our page.
3. How to find GCD of 847, 483, 684, 322 on a calculator?
You can find the GCD of 847, 483, 684, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.