GCD of 52, 54, 44, 64 Calculator

Given Input numbers are 52, 54, 44, 64

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 54

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

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 52, 54, 44, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 54, 44, 64 is 2.

Therefore, GCD of numbers 52, 54, 44, 64 is 2

Given Input Data is 52, 54, 44, 64

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 54 is 2 x 3 x 3 x 3

Prime Factorization of 44 is 2 x 2 x 11

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 54) = 1404

GCD(52, 54) = ( 52 x 54 ) / 1404

GCD(52, 54) = 2808 / 1404

GCD(52, 54) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

GCD of 52, 54, 44, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 25, 33, 88
• GCD of 37, 60, 85, 84
• GCD of 60, 65, 58, 54
• GCD of 20, 44, 90, 57
• GCD of 30, 36, 28, 66

1. What is the GCD of 52, 54, 44, 64?

GCD of 52, 54, 44, 64 is 2

2. Where do I get the detailed procedure to find GCD of 52, 54, 44, 64?

You can find a detailed procedure to find GCD of 52, 54, 44, 64 on our page.

3. How to find GCD of 52, 54, 44, 64 on a calculator?

You can find the GCD of 52, 54, 44, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.