GCD of 44, 25, 66, 17 Calculator

Given Input numbers are 44, 25, 66, 17

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 44, 25, 66, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 25, 66, 17 is 1.

Therefore, GCD of numbers 44, 25, 66, 17 is 1

Given Input Data is 44, 25, 66, 17

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 25 is 5 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 17 is 17

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, 25) = 1100

GCD(44, 25) = ( 44 x 25 ) / 1100

GCD(44, 25) = 1100 / 1100

GCD(44, 25) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 44, 25, 66, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 13, 28, 27
• GCD of 43, 29, 14, 11
• GCD of 90, 11, 75, 88
• GCD of 59, 93, 88, 41
• GCD of 52, 57, 66, 20

1. What is the GCD of 44, 25, 66, 17?

GCD of 44, 25, 66, 17 is 1

2. Where do I get the detailed procedure to find GCD of 44, 25, 66, 17?

You can find a detailed procedure to find GCD of 44, 25, 66, 17 on our page.

3. How to find GCD of 44, 25, 66, 17 on a calculator?

You can find the GCD of 44, 25, 66, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.