GCD of 48, 759, 663, 493 Calculator

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.

• GCD of 33, 782, 816, 167
• GCD of 81, 606, 633, 946
• GCD of 45, 656, 303, 274
• GCD of 39, 408, 818, 313
• GCD of 14, 702, 323, 867

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.