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 391, 349, 57, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 349, 57, 117 is 1
GCD(391, 349, 57, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 349, 57, 117 is 1
GCD(391, 349, 57, 117) = 1
Given Input numbers are 391, 349, 57, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 391, 349, 57, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 349, 57, 117 is 1.
Therefore, GCD of numbers 391, 349, 57, 117 is 1
Given Input Data is 391, 349, 57, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 349 is 349
Prime Factorization of 57 is 3 x 19
Prime Factorization of 117 is 3 x 3 x 13
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(391, 349) = 136459
GCD(391, 349) = ( 391 x 349 ) / 136459
GCD(391, 349) = 136459 / 136459
GCD(391, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 391, 349, 57, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 349, 57, 117?
GCD of 391, 349, 57, 117 is 1
2. Where do I get the detailed procedure to find GCD of 391, 349, 57, 117?
You can find a detailed procedure to find GCD of 391, 349, 57, 117 on our page.
3. How to find GCD of 391, 349, 57, 117 on a calculator?
You can find the GCD of 391, 349, 57, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.