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, 823, 11, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 823, 11, 270 is 1
GCD(518, 823, 11, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 823, 11, 270 is 1
GCD(518, 823, 11, 270) = 1
Given Input numbers are 518, 823, 11, 270
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 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 518, 823, 11, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 823, 11, 270 is 1.
Therefore, GCD of numbers 518, 823, 11, 270 is 1
Given Input Data is 518, 823, 11, 270
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 823 is 823
Prime Factorization of 11 is 11
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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, 823) = 426314
GCD(518, 823) = ( 518 x 823 ) / 426314
GCD(518, 823) = 426314 / 426314
GCD(518, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 518, 823, 11, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 823, 11, 270?
GCD of 518, 823, 11, 270 is 1
2. Where do I get the detailed procedure to find GCD of 518, 823, 11, 270?
You can find a detailed procedure to find GCD of 518, 823, 11, 270 on our page.
3. How to find GCD of 518, 823, 11, 270 on a calculator?
You can find the GCD of 518, 823, 11, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.