GCD of 446, 381, 20, 152 Calculator

Given Input numbers are 446, 381, 20, 152

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 446, 381, 20, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 381, 20, 152 is 1.

Therefore, GCD of numbers 446, 381, 20, 152 is 1

Given Input Data is 446, 381, 20, 152

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 381 is 3 x 127

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 152 is 2 x 2 x 2 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(446, 381) = 169926

GCD(446, 381) = ( 446 x 381 ) / 169926

GCD(446, 381) = 169926 / 169926

GCD(446, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 446, 381, 20, 152 is 1

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1. What is the GCD of 446, 381, 20, 152?

GCD of 446, 381, 20, 152 is 1

2. Where do I get the detailed procedure to find GCD of 446, 381, 20, 152?

You can find a detailed procedure to find GCD of 446, 381, 20, 152 on our page.

3. How to find GCD of 446, 381, 20, 152 on a calculator?

You can find the GCD of 446, 381, 20, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.