GCD of 400, 446, 66 Calculator

Given Input numbers are 400, 446, 66

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 66

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

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

Greatest Common Divisior

We found the divisors of 400, 446, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 446, 66 is 2.

Therefore, GCD of numbers 400, 446, 66 is 2

Given Input Data is 400, 446, 66

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 446 is 2 x 223

Prime Factorization of 66 is 2 x 3 x 11

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(400, 446) = 89200

GCD(400, 446) = ( 400 x 446 ) / 89200

GCD(400, 446) = 178400 / 89200

GCD(400, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

GCD of 400, 446, 66 is 2

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1. What is the GCD of 400, 446, 66?

GCD of 400, 446, 66 is 2

2. Where do I get the detailed procedure to find GCD of 400, 446, 66?

You can find a detailed procedure to find GCD of 400, 446, 66 on our page.

3. How to find GCD of 400, 446, 66 on a calculator?

You can find the GCD of 400, 446, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.