GCD of 44, 8, 45, 84 Calculator

Given Input numbers are 44, 8, 45, 84

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 44, 8, 45, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 8, 45, 84 is 1.

Therefore, GCD of numbers 44, 8, 45, 84 is 1

Given Input Data is 44, 8, 45, 84

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 8 is 2 x 2 x 2

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

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, 8) = 88

GCD(44, 8) = ( 44 x 8 ) / 88

GCD(44, 8) = 352 / 88

GCD(44, 8) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 44, 8, 45, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 9, 83, 87
• GCD of 89, 4, 40, 56
• GCD of 57, 1, 33, 85
• GCD of 85, 9, 26, 19
• GCD of 81, 2, 72, 43

1. What is the GCD of 44, 8, 45, 84?

GCD of 44, 8, 45, 84 is 1

2. Where do I get the detailed procedure to find GCD of 44, 8, 45, 84?

You can find a detailed procedure to find GCD of 44, 8, 45, 84 on our page.

3. How to find GCD of 44, 8, 45, 84 on a calculator?

You can find the GCD of 44, 8, 45, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.