GCD of 446, 338, 99, 993 Calculator

Given Input numbers are 446, 338, 99, 993

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 446, 338, 99, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 338, 99, 993 is 1.

Therefore, GCD of numbers 446, 338, 99, 993 is 1

Given Input Data is 446, 338, 99, 993

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 993 is 3 x 331

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, 338) = 75374

GCD(446, 338) = ( 446 x 338 ) / 75374

GCD(446, 338) = 150748 / 75374

GCD(446, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 446, 338, 99, 993 is 1

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• GCD of 929, 279, 73, 353
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1. What is the GCD of 446, 338, 99, 993?

GCD of 446, 338, 99, 993 is 1

2. Where do I get the detailed procedure to find GCD of 446, 338, 99, 993?

You can find a detailed procedure to find GCD of 446, 338, 99, 993 on our page.

3. How to find GCD of 446, 338, 99, 993 on a calculator?

You can find the GCD of 446, 338, 99, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.