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 616, 644, 12, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 644, 12, 635 is 1
GCD(616, 644, 12, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 644, 12, 635 is 1
GCD(616, 644, 12, 635) = 1
Given Input numbers are 616, 644, 12, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 616, 644, 12, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 644, 12, 635 is 1.
Therefore, GCD of numbers 616, 644, 12, 635 is 1
Given Input Data is 616, 644, 12, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 635 is 5 x 127
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(616, 644) = 14168
GCD(616, 644) = ( 616 x 644 ) / 14168
GCD(616, 644) = 396704 / 14168
GCD(616, 644) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 12) = 84
GCD(28, 12) = ( 28 x 12 ) / 84
GCD(28, 12) = 336 / 84
GCD(28, 12) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 635) = 2540
GCD(4, 635) = ( 4 x 635 ) / 2540
GCD(4, 635) = 2540 / 2540
GCD(4, 635) = 1
GCD of 616, 644, 12, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 644, 12, 635?
GCD of 616, 644, 12, 635 is 1
2. Where do I get the detailed procedure to find GCD of 616, 644, 12, 635?
You can find a detailed procedure to find GCD of 616, 644, 12, 635 on our page.
3. How to find GCD of 616, 644, 12, 635 on a calculator?
You can find the GCD of 616, 644, 12, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.