GCD of 13, 87, 48, 18 Calculator

Given Input numbers are 13, 87, 48, 18

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 13

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

1, 13

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 13, 87, 48, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 87, 48, 18 is 1.

Therefore, GCD of numbers 13, 87, 48, 18 is 1

Given Input Data is 13, 87, 48, 18

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 13 is 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 18 is 2 x 3 x 3

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(13, 87) = 1131

GCD(13, 87) = ( 13 x 87 ) / 1131

GCD(13, 87) = 1131 / 1131

GCD(13, 87) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

GCD of 13, 87, 48, 18 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 47, 78, 19
• GCD of 70, 54, 72, 17
• GCD of 53, 48, 55, 64
• GCD of 96, 89, 12, 69
• GCD of 12, 17, 58, 36

1. What is the GCD of 13, 87, 48, 18?

GCD of 13, 87, 48, 18 is 1

2. Where do I get the detailed procedure to find GCD of 13, 87, 48, 18?

You can find a detailed procedure to find GCD of 13, 87, 48, 18 on our page.

3. How to find GCD of 13, 87, 48, 18 on a calculator?

You can find the GCD of 13, 87, 48, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.