GCD of 13, 40, 15, 64 Calculator

Given Input numbers are 13, 40, 15, 64

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Greatest Common Divisior

We found the divisors of 13, 40, 15, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 40, 15, 64 is 1.

Therefore, GCD of numbers 13, 40, 15, 64 is 1

Given Input Data is 13, 40, 15, 64

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

Prime Factorization of 13 is 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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, 40) = 520

GCD(13, 40) = ( 13 x 40 ) / 520

GCD(13, 40) = 520 / 520

GCD(13, 40) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

GCD of 13, 40, 15, 64 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 66, 90, 76
• GCD of 13, 56, 77, 66
• GCD of 27, 15, 20, 80
• GCD of 19, 73, 11, 76
• GCD of 39, 28, 86, 33

1. What is the GCD of 13, 40, 15, 64?

GCD of 13, 40, 15, 64 is 1

2. Where do I get the detailed procedure to find GCD of 13, 40, 15, 64?

You can find a detailed procedure to find GCD of 13, 40, 15, 64 on our page.

3. How to find GCD of 13, 40, 15, 64 on a calculator?

You can find the GCD of 13, 40, 15, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.