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 594, 477, 96, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 594, 477, 96, 682 is 1
GCD(594, 477, 96, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 594, 477, 96, 682 is 1
GCD(594, 477, 96, 682) = 1
Given Input numbers are 594, 477, 96, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 594, 477, 96, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 477, 96, 682 is 1.
Therefore, GCD of numbers 594, 477, 96, 682 is 1
Given Input Data is 594, 477, 96, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 682 is 2 x 11 x 31
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(594, 477) = 31482
GCD(594, 477) = ( 594 x 477 ) / 31482
GCD(594, 477) = 283338 / 31482
GCD(594, 477) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 96) = 288
GCD(9, 96) = ( 9 x 96 ) / 288
GCD(9, 96) = 864 / 288
GCD(9, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
GCD(3, 682) = 2046 / 2046
GCD(3, 682) = 1
GCD of 594, 477, 96, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 594, 477, 96, 682?
GCD of 594, 477, 96, 682 is 1
2. Where do I get the detailed procedure to find GCD of 594, 477, 96, 682?
You can find a detailed procedure to find GCD of 594, 477, 96, 682 on our page.
3. How to find GCD of 594, 477, 96, 682 on a calculator?
You can find the GCD of 594, 477, 96, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.