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 285, 342, 520, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 342, 520, 663 is 1
GCD(285, 342, 520, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 342, 520, 663 is 1
GCD(285, 342, 520, 663) = 1
Given Input numbers are 285, 342, 520, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 285, 342, 520, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 342, 520, 663 is 1.
Therefore, GCD of numbers 285, 342, 520, 663 is 1
Given Input Data is 285, 342, 520, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 663 is 3 x 13 x 17
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(285, 342) = 1710
GCD(285, 342) = ( 285 x 342 ) / 1710
GCD(285, 342) = 97470 / 1710
GCD(285, 342) = 57
Step2:
Here we consider the GCD from the above i.e. 57 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(57, 520) = 29640
GCD(57, 520) = ( 57 x 520 ) / 29640
GCD(57, 520) = 29640 / 29640
GCD(57, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 285, 342, 520, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 342, 520, 663?
GCD of 285, 342, 520, 663 is 1
2. Where do I get the detailed procedure to find GCD of 285, 342, 520, 663?
You can find a detailed procedure to find GCD of 285, 342, 520, 663 on our page.
3. How to find GCD of 285, 342, 520, 663 on a calculator?
You can find the GCD of 285, 342, 520, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.