GCD of 44, 22, 40, 64 Calculator

Given Input numbers are 44, 22, 40, 64

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 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 44, 22, 40, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 22, 40, 64 is 2.

Therefore, GCD of numbers 44, 22, 40, 64 is 2

Given Input Data is 44, 22, 40, 64

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 22 is 2 x 11

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

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(44, 22) = 44

GCD(44, 22) = ( 44 x 22 ) / 44

GCD(44, 22) = 968 / 44

GCD(44, 22) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 40

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

LCM(22, 40) = 440

GCD(22, 40) = ( 22 x 40 ) / 440

GCD(22, 40) = 880 / 440

GCD(22, 40) = 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 44, 22, 40, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 87, 97, 70
• GCD of 84, 97, 73, 10
• GCD of 19, 91, 44, 62
• GCD of 62, 30, 95, 70
• GCD of 79, 49, 80, 59

1. What is the GCD of 44, 22, 40, 64?

GCD of 44, 22, 40, 64 is 2

2. Where do I get the detailed procedure to find GCD of 44, 22, 40, 64?

You can find a detailed procedure to find GCD of 44, 22, 40, 64 on our page.

3. How to find GCD of 44, 22, 40, 64 on a calculator?

You can find the GCD of 44, 22, 40, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.