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 350, 326, 36, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 326, 36, 517 is 1
GCD(350, 326, 36, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 326, 36, 517 is 1
GCD(350, 326, 36, 517) = 1
Given Input numbers are 350, 326, 36, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 350, 326, 36, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 326, 36, 517 is 1.
Therefore, GCD of numbers 350, 326, 36, 517 is 1
Given Input Data is 350, 326, 36, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 326 is 2 x 163
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 517 is 11 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(350, 326) = 57050
GCD(350, 326) = ( 350 x 326 ) / 57050
GCD(350, 326) = 114100 / 57050
GCD(350, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 517) = 1034
GCD(2, 517) = ( 2 x 517 ) / 1034
GCD(2, 517) = 1034 / 1034
GCD(2, 517) = 1
GCD of 350, 326, 36, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 326, 36, 517?
GCD of 350, 326, 36, 517 is 1
2. Where do I get the detailed procedure to find GCD of 350, 326, 36, 517?
You can find a detailed procedure to find GCD of 350, 326, 36, 517 on our page.
3. How to find GCD of 350, 326, 36, 517 on a calculator?
You can find the GCD of 350, 326, 36, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.