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 12, 637, 838, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 637, 838, 497 is 1
GCD(12, 637, 838, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 637, 838, 497 is 1
GCD(12, 637, 838, 497) = 1
Given Input numbers are 12, 637, 838, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 12, 637, 838, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 637, 838, 497 is 1.
Therefore, GCD of numbers 12, 637, 838, 497 is 1
Given Input Data is 12, 637, 838, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 838 is 2 x 419
Prime Factorization of 497 is 7 x 71
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(12, 637) = 7644
GCD(12, 637) = ( 12 x 637 ) / 7644
GCD(12, 637) = 7644 / 7644
GCD(12, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
GCD(1, 497) = 497 / 497
GCD(1, 497) = 1
GCD of 12, 637, 838, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 637, 838, 497?
GCD of 12, 637, 838, 497 is 1
2. Where do I get the detailed procedure to find GCD of 12, 637, 838, 497?
You can find a detailed procedure to find GCD of 12, 637, 838, 497 on our page.
3. How to find GCD of 12, 637, 838, 497 on a calculator?
You can find the GCD of 12, 637, 838, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.