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 506, 663, 708, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 506, 663, 708, 367 is 1
GCD(506, 663, 708, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 506, 663, 708, 367 is 1
GCD(506, 663, 708, 367) = 1
Given Input numbers are 506, 663, 708, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 506, 663, 708, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 663, 708, 367 is 1.
Therefore, GCD of numbers 506, 663, 708, 367 is 1
Given Input Data is 506, 663, 708, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 367 is 367
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(506, 663) = 335478
GCD(506, 663) = ( 506 x 663 ) / 335478
GCD(506, 663) = 335478 / 335478
GCD(506, 663) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 506, 663, 708, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 506, 663, 708, 367?
GCD of 506, 663, 708, 367 is 1
2. Where do I get the detailed procedure to find GCD of 506, 663, 708, 367?
You can find a detailed procedure to find GCD of 506, 663, 708, 367 on our page.
3. How to find GCD of 506, 663, 708, 367 on a calculator?
You can find the GCD of 506, 663, 708, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.