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, 910, 42 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 910, 42 is 1
GCD(349, 910, 42) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 910, 42 is 1
GCD(349, 910, 42) = 1
Given Input numbers are 349, 910, 42
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 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 349, 910, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 910, 42 is 1.
Therefore, GCD of numbers 349, 910, 42 is 1
Given Input Data is 349, 910, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 42 is 2 x 3 x 7
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, 910) = 317590
GCD(349, 910) = ( 349 x 910 ) / 317590
GCD(349, 910) = 317590 / 317590
GCD(349, 910) = 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
GCD of 349, 910, 42 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 910, 42?
GCD of 349, 910, 42 is 1
2. Where do I get the detailed procedure to find GCD of 349, 910, 42?
You can find a detailed procedure to find GCD of 349, 910, 42 on our page.
3. How to find GCD of 349, 910, 42 on a calculator?
You can find the GCD of 349, 910, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.