GCD of 446, 288, 49, 341 Calculator

Given Input numbers are 446, 288, 49, 341

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 446, 288, 49, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 288, 49, 341 is 1.

Therefore, GCD of numbers 446, 288, 49, 341 is 1

Given Input Data is 446, 288, 49, 341

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 49 is 7 x 7

Prime Factorization of 341 is 11 x 31

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, 288) = 64224

GCD(446, 288) = ( 446 x 288 ) / 64224

GCD(446, 288) = 128448 / 64224

GCD(446, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 446, 288, 49, 341 is 1

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1. What is the GCD of 446, 288, 49, 341?

GCD of 446, 288, 49, 341 is 1

2. Where do I get the detailed procedure to find GCD of 446, 288, 49, 341?

You can find a detailed procedure to find GCD of 446, 288, 49, 341 on our page.

3. How to find GCD of 446, 288, 49, 341 on a calculator?

You can find the GCD of 446, 288, 49, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.