GCD of 52, 64, 47, 54 Calculator

Given Input numbers are 52, 64, 47, 54

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 54

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

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

Greatest Common Divisior

We found the divisors of 52, 64, 47, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 64, 47, 54 is 1.

Therefore, GCD of numbers 52, 64, 47, 54 is 1

Given Input Data is 52, 64, 47, 54

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

Prime Factorization of 52 is 2 x 2 x 13

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

Prime Factorization of 47 is 47

Prime Factorization of 54 is 2 x 3 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(52, 64) = 832

GCD(52, 64) = ( 52 x 64 ) / 832

GCD(52, 64) = 3328 / 832

GCD(52, 64) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 52, 64, 47, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 88, 74, 34
• GCD of 45, 47, 32, 35
• GCD of 57, 23, 25, 32
• GCD of 59, 14, 67, 62
• GCD of 38, 99, 15, 49

1. What is the GCD of 52, 64, 47, 54?

GCD of 52, 64, 47, 54 is 1

2. Where do I get the detailed procedure to find GCD of 52, 64, 47, 54?

You can find a detailed procedure to find GCD of 52, 64, 47, 54 on our page.

3. How to find GCD of 52, 64, 47, 54 on a calculator?

You can find the GCD of 52, 64, 47, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.