GCD of 48, 3, 57, 13 Calculator

Given Input numbers are 48, 3, 57, 13

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 48, 3, 57, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 3, 57, 13 is 1.

Therefore, GCD of numbers 48, 3, 57, 13 is 1

Given Input Data is 48, 3, 57, 13

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 3 is 3

Prime Factorization of 57 is 3 x 19

Prime Factorization of 13 is 13

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, 3) = 48

GCD(48, 3) = ( 48 x 3 ) / 48

GCD(48, 3) = 144 / 48

GCD(48, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

GCD of 48, 3, 57, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 8, 90, 58
• GCD of 87, 3, 29, 71
• GCD of 77, 8, 71, 24
• GCD of 80, 1, 43, 22
• GCD of 51, 4, 40, 90

1. What is the GCD of 48, 3, 57, 13?

GCD of 48, 3, 57, 13 is 1

2. Where do I get the detailed procedure to find GCD of 48, 3, 57, 13?

You can find a detailed procedure to find GCD of 48, 3, 57, 13 on our page.

3. How to find GCD of 48, 3, 57, 13 on a calculator?

You can find the GCD of 48, 3, 57, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.