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 797, 634, 42, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 634, 42, 369 is 1
GCD(797, 634, 42, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 634, 42, 369 is 1
GCD(797, 634, 42, 369) = 1
Given Input numbers are 797, 634, 42, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 797, 634, 42, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 634, 42, 369 is 1.
Therefore, GCD of numbers 797, 634, 42, 369 is 1
Given Input Data is 797, 634, 42, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 634 is 2 x 317
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 369 is 3 x 3 x 41
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(797, 634) = 505298
GCD(797, 634) = ( 797 x 634 ) / 505298
GCD(797, 634) = 505298 / 505298
GCD(797, 634) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 797, 634, 42, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 634, 42, 369?
GCD of 797, 634, 42, 369 is 1
2. Where do I get the detailed procedure to find GCD of 797, 634, 42, 369?
You can find a detailed procedure to find GCD of 797, 634, 42, 369 on our page.
3. How to find GCD of 797, 634, 42, 369 on a calculator?
You can find the GCD of 797, 634, 42, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.