GCD of 44, 64, 31, 52 Calculator

Given Input numbers are 44, 64, 31, 52

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

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 52

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

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 44, 64, 31, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 64, 31, 52 is 1.

Therefore, GCD of numbers 44, 64, 31, 52 is 1

Given Input Data is 44, 64, 31, 52

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

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

Prime Factorization of 31 is 31

Prime Factorization of 52 is 2 x 2 x 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(44, 64) = 704

GCD(44, 64) = ( 44 x 64 ) / 704

GCD(44, 64) = 2816 / 704

GCD(44, 64) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

GCD of 44, 64, 31, 52 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 72, 14, 57
• GCD of 60, 38, 84, 29
• GCD of 82, 99, 72, 84
• GCD of 10, 26, 77, 19
• GCD of 59, 46, 42, 63

1. What is the GCD of 44, 64, 31, 52?

GCD of 44, 64, 31, 52 is 1

2. Where do I get the detailed procedure to find GCD of 44, 64, 31, 52?

You can find a detailed procedure to find GCD of 44, 64, 31, 52 on our page.

3. How to find GCD of 44, 64, 31, 52 on a calculator?

You can find the GCD of 44, 64, 31, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.