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 518, 736, 354, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 736, 354, 329 is 1
GCD(518, 736, 354, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 736, 354, 329 is 1
GCD(518, 736, 354, 329) = 1
Given Input numbers are 518, 736, 354, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 518, 736, 354, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 736, 354, 329 is 1.
Therefore, GCD of numbers 518, 736, 354, 329 is 1
Given Input Data is 518, 736, 354, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 329 is 7 x 47
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(518, 736) = 190624
GCD(518, 736) = ( 518 x 736 ) / 190624
GCD(518, 736) = 381248 / 190624
GCD(518, 736) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
GCD(2, 354) = 708 / 354
GCD(2, 354) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 329) = 658
GCD(2, 329) = ( 2 x 329 ) / 658
GCD(2, 329) = 658 / 658
GCD(2, 329) = 1
GCD of 518, 736, 354, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 736, 354, 329?
GCD of 518, 736, 354, 329 is 1
2. Where do I get the detailed procedure to find GCD of 518, 736, 354, 329?
You can find a detailed procedure to find GCD of 518, 736, 354, 329 on our page.
3. How to find GCD of 518, 736, 354, 329 on a calculator?
You can find the GCD of 518, 736, 354, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.