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 357, 234, 11, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 234, 11, 518 is 1
GCD(357, 234, 11, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 234, 11, 518 is 1
GCD(357, 234, 11, 518) = 1
Given Input numbers are 357, 234, 11, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 357, 234, 11, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 234, 11, 518 is 1.
Therefore, GCD of numbers 357, 234, 11, 518 is 1
Given Input Data is 357, 234, 11, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 11 is 11
Prime Factorization of 518 is 2 x 7 x 37
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(357, 234) = 27846
GCD(357, 234) = ( 357 x 234 ) / 27846
GCD(357, 234) = 83538 / 27846
GCD(357, 234) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 11) = 33
GCD(3, 11) = ( 3 x 11 ) / 33
GCD(3, 11) = 33 / 33
GCD(3, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 357, 234, 11, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 234, 11, 518?
GCD of 357, 234, 11, 518 is 1
2. Where do I get the detailed procedure to find GCD of 357, 234, 11, 518?
You can find a detailed procedure to find GCD of 357, 234, 11, 518 on our page.
3. How to find GCD of 357, 234, 11, 518 on a calculator?
You can find the GCD of 357, 234, 11, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.