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 517, 336, 21, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 336, 21, 338 is 1
GCD(517, 336, 21, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 336, 21, 338 is 1
GCD(517, 336, 21, 338) = 1
Given Input numbers are 517, 336, 21, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 517, 336, 21, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 336, 21, 338 is 1.
Therefore, GCD of numbers 517, 336, 21, 338 is 1
Given Input Data is 517, 336, 21, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 21 is 3 x 7
Prime Factorization of 338 is 2 x 13 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(517, 336) = 173712
GCD(517, 336) = ( 517 x 336 ) / 173712
GCD(517, 336) = 173712 / 173712
GCD(517, 336) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 517, 336, 21, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 336, 21, 338?
GCD of 517, 336, 21, 338 is 1
2. Where do I get the detailed procedure to find GCD of 517, 336, 21, 338?
You can find a detailed procedure to find GCD of 517, 336, 21, 338 on our page.
3. How to find GCD of 517, 336, 21, 338 on a calculator?
You can find the GCD of 517, 336, 21, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.