GCD of 54, 64, 61, 13 Calculator

Given Input numbers are 54, 64, 61, 13

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 64

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

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 54, 64, 61, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 64, 61, 13 is 1.

Therefore, GCD of numbers 54, 64, 61, 13 is 1

Given Input Data is 54, 64, 61, 13

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

Prime Factorization of 61 is 61

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(54, 64) = 1728

GCD(54, 64) = ( 54 x 64 ) / 1728

GCD(54, 64) = 3456 / 1728

GCD(54, 64) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 54, 64, 61, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 33, 63, 25
• GCD of 53, 17, 95, 19
• GCD of 86, 81, 80, 15
• GCD of 29, 59, 20, 31
• GCD of 17, 12, 80, 90

1. What is the GCD of 54, 64, 61, 13?

GCD of 54, 64, 61, 13 is 1

2. Where do I get the detailed procedure to find GCD of 54, 64, 61, 13?

You can find a detailed procedure to find GCD of 54, 64, 61, 13 on our page.

3. How to find GCD of 54, 64, 61, 13 on a calculator?

You can find the GCD of 54, 64, 61, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.