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 337, 318, 59 i.e. 1 largest integer that divides all the numbers equally.
GCD of 337, 318, 59 is 1
GCD(337, 318, 59) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 337, 318, 59 is 1
GCD(337, 318, 59) = 1
Given Input numbers are 337, 318, 59
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Greatest Common Divisior
We found the divisors of 337, 318, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 318, 59 is 1.
Therefore, GCD of numbers 337, 318, 59 is 1
Given Input Data is 337, 318, 59
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 337 is 337
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 59 is 59
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(337, 318) = 107166
GCD(337, 318) = ( 337 x 318 ) / 107166
GCD(337, 318) = 107166 / 107166
GCD(337, 318) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
GCD of 337, 318, 59 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 337, 318, 59?
GCD of 337, 318, 59 is 1
2. Where do I get the detailed procedure to find GCD of 337, 318, 59?
You can find a detailed procedure to find GCD of 337, 318, 59 on our page.
3. How to find GCD of 337, 318, 59 on a calculator?
You can find the GCD of 337, 318, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.