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 169, 338, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 338, 614 is 1
GCD(169, 338, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 338, 614 is 1
GCD(169, 338, 614) = 1
Given Input numbers are 169, 338, 614
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 169, 338, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 338, 614 is 1.
Therefore, GCD of numbers 169, 338, 614 is 1
Given Input Data is 169, 338, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 614 is 2 x 307
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(169, 338) = 338
GCD(169, 338) = ( 169 x 338 ) / 338
GCD(169, 338) = 57122 / 338
GCD(169, 338) = 169
Step2:
Here we consider the GCD from the above i.e. 169 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(169, 614) = 103766
GCD(169, 614) = ( 169 x 614 ) / 103766
GCD(169, 614) = 103766 / 103766
GCD(169, 614) = 1
GCD of 169, 338, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 338, 614?
GCD of 169, 338, 614 is 1
2. Where do I get the detailed procedure to find GCD of 169, 338, 614?
You can find a detailed procedure to find GCD of 169, 338, 614 on our page.
3. How to find GCD of 169, 338, 614 on a calculator?
You can find the GCD of 169, 338, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.