GCD of 446, 989, 378, 466 Calculator

Given Input numbers are 446, 989, 378, 466

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

Divisors of 446

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

1, 2, 223, 446

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 446, 989, 378, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 989, 378, 466 is 1.

Therefore, GCD of numbers 446, 989, 378, 466 is 1

Given Input Data is 446, 989, 378, 466

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 989 is 23 x 43

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 466 is 2 x 233

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(446, 989) = 441094

GCD(446, 989) = ( 446 x 989 ) / 441094

GCD(446, 989) = 441094 / 441094

GCD(446, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 446, 989, 378, 466 is 1

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1. What is the GCD of 446, 989, 378, 466?

GCD of 446, 989, 378, 466 is 1

2. Where do I get the detailed procedure to find GCD of 446, 989, 378, 466?

You can find a detailed procedure to find GCD of 446, 989, 378, 466 on our page.

3. How to find GCD of 446, 989, 378, 466 on a calculator?

You can find the GCD of 446, 989, 378, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.