GCD of 303, 944, 352, 994 Calculator

Given Input numbers are 303, 944, 352, 994

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 303, 944, 352, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 944, 352, 994 is 1.

Therefore, GCD of numbers 303, 944, 352, 994 is 1

Given Input Data is 303, 944, 352, 994

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 994 is 2 x 7 x 71

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(303, 944) = 286032

GCD(303, 944) = ( 303 x 944 ) / 286032

GCD(303, 944) = 286032 / 286032

GCD(303, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 303, 944, 352, 994 is 1

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1. What is the GCD of 303, 944, 352, 994?

GCD of 303, 944, 352, 994 is 1

2. Where do I get the detailed procedure to find GCD of 303, 944, 352, 994?

You can find a detailed procedure to find GCD of 303, 944, 352, 994 on our page.

3. How to find GCD of 303, 944, 352, 994 on a calculator?

You can find the GCD of 303, 944, 352, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.