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 63, 493, 349, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 493, 349, 791 is 1
GCD(63, 493, 349, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 493, 349, 791 is 1
GCD(63, 493, 349, 791) = 1
Given Input numbers are 63, 493, 349, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 63, 493, 349, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 493, 349, 791 is 1.
Therefore, GCD of numbers 63, 493, 349, 791 is 1
Given Input Data is 63, 493, 349, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 493 is 17 x 29
Prime Factorization of 349 is 349
Prime Factorization of 791 is 7 x 113
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(63, 493) = 31059
GCD(63, 493) = ( 63 x 493 ) / 31059
GCD(63, 493) = 31059 / 31059
GCD(63, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
GCD of 63, 493, 349, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 493, 349, 791?
GCD of 63, 493, 349, 791 is 1
2. Where do I get the detailed procedure to find GCD of 63, 493, 349, 791?
You can find a detailed procedure to find GCD of 63, 493, 349, 791 on our page.
3. How to find GCD of 63, 493, 349, 791 on a calculator?
You can find the GCD of 63, 493, 349, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.