GCD of 66, 444, 180, 946 Calculator

Given Input numbers are 66, 444, 180, 946

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

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 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 66, 444, 180, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 444, 180, 946 is 2.

Therefore, GCD of numbers 66, 444, 180, 946 is 2

Given Input Data is 66, 444, 180, 946

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 946 is 2 x 11 x 43

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(66, 444) = 4884

GCD(66, 444) = ( 66 x 444 ) / 4884

GCD(66, 444) = 29304 / 4884

GCD(66, 444) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 180

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

LCM(6, 180) = 180

GCD(6, 180) = ( 6 x 180 ) / 180

GCD(6, 180) = 1080 / 180

GCD(6, 180) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 946

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

LCM(6, 946) = 2838

GCD(6, 946) = ( 6 x 946 ) / 2838

GCD(6, 946) = 5676 / 2838

GCD(6, 946) = 2

GCD of 66, 444, 180, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 672, 906, 164
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• GCD of 21, 456, 214, 822

1. What is the GCD of 66, 444, 180, 946?

GCD of 66, 444, 180, 946 is 2

2. Where do I get the detailed procedure to find GCD of 66, 444, 180, 946?

You can find a detailed procedure to find GCD of 66, 444, 180, 946 on our page.

3. How to find GCD of 66, 444, 180, 946 on a calculator?

You can find the GCD of 66, 444, 180, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.