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 624, 682, 95, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 682, 95, 204 is 1
GCD(624, 682, 95, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 682, 95, 204 is 1
GCD(624, 682, 95, 204) = 1
Given Input numbers are 624, 682, 95, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 624, 682, 95, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 682, 95, 204 is 1.
Therefore, GCD of numbers 624, 682, 95, 204 is 1
Given Input Data is 624, 682, 95, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 95 is 5 x 19
Prime Factorization of 204 is 2 x 2 x 3 x 17
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(624, 682) = 212784
GCD(624, 682) = ( 624 x 682 ) / 212784
GCD(624, 682) = 425568 / 212784
GCD(624, 682) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
GCD of 624, 682, 95, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 682, 95, 204?
GCD of 624, 682, 95, 204 is 1
2. Where do I get the detailed procedure to find GCD of 624, 682, 95, 204?
You can find a detailed procedure to find GCD of 624, 682, 95, 204 on our page.
3. How to find GCD of 624, 682, 95, 204 on a calculator?
You can find the GCD of 624, 682, 95, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.