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 349, 131, 67, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 131, 67, 493 is 1
GCD(349, 131, 67, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 131, 67, 493 is 1
GCD(349, 131, 67, 493) = 1
Given Input numbers are 349, 131, 67, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 349, 131, 67, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 131, 67, 493 is 1.
Therefore, GCD of numbers 349, 131, 67, 493 is 1
Given Input Data is 349, 131, 67, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 131 is 131
Prime Factorization of 67 is 67
Prime Factorization of 493 is 17 x 29
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(349, 131) = 45719
GCD(349, 131) = ( 349 x 131 ) / 45719
GCD(349, 131) = 45719 / 45719
GCD(349, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 349, 131, 67, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 131, 67, 493?
GCD of 349, 131, 67, 493 is 1
2. Where do I get the detailed procedure to find GCD of 349, 131, 67, 493?
You can find a detailed procedure to find GCD of 349, 131, 67, 493 on our page.
3. How to find GCD of 349, 131, 67, 493 on a calculator?
You can find the GCD of 349, 131, 67, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.