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 48, 759, 663, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 759, 663, 493 is 1
GCD(48, 759, 663, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 759, 663, 493 is 1
GCD(48, 759, 663, 493) = 1
Given Input numbers are 48, 759, 663, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
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 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 48, 759, 663, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 759, 663, 493 is 1.
Therefore, GCD of numbers 48, 759, 663, 493 is 1
Given Input Data is 48, 759, 663, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 493 is 17 x 29
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(48, 759) = 12144
GCD(48, 759) = ( 48 x 759 ) / 12144
GCD(48, 759) = 36432 / 12144
GCD(48, 759) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 663) = 663
GCD(3, 663) = ( 3 x 663 ) / 663
GCD(3, 663) = 1989 / 663
GCD(3, 663) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 493) = 1479
GCD(3, 493) = ( 3 x 493 ) / 1479
GCD(3, 493) = 1479 / 1479
GCD(3, 493) = 1
GCD of 48, 759, 663, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 759, 663, 493?
GCD of 48, 759, 663, 493 is 1
2. Where do I get the detailed procedure to find GCD of 48, 759, 663, 493?
You can find a detailed procedure to find GCD of 48, 759, 663, 493 on our page.
3. How to find GCD of 48, 759, 663, 493 on a calculator?
You can find the GCD of 48, 759, 663, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.