GCD of 44, 80, 66, 57 Calculator

Given Input numbers are 44, 80, 66, 57

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 44, 80, 66, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 80, 66, 57 is 1.

Therefore, GCD of numbers 44, 80, 66, 57 is 1

Given Input Data is 44, 80, 66, 57

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 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 57 is 3 x 19

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, 80) = 880

GCD(44, 80) = ( 44 x 80 ) / 880

GCD(44, 80) = 3520 / 880

GCD(44, 80) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 66

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

LCM(4, 66) = 132

GCD(4, 66) = ( 4 x 66 ) / 132

GCD(4, 66) = 264 / 132

GCD(4, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

GCD of 44, 80, 66, 57 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 84, 84, 31
• GCD of 14, 61, 30, 35
• GCD of 53, 48, 45, 11
• GCD of 61, 36, 38, 78
• GCD of 81, 34, 46, 48

1. What is the GCD of 44, 80, 66, 57?

GCD of 44, 80, 66, 57 is 1

2. Where do I get the detailed procedure to find GCD of 44, 80, 66, 57?

You can find a detailed procedure to find GCD of 44, 80, 66, 57 on our page.

3. How to find GCD of 44, 80, 66, 57 on a calculator?

You can find the GCD of 44, 80, 66, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.