GCD of 348, 997, 20, 303 Calculator

Given Input numbers are 348, 997, 20, 303

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 303

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

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 348, 997, 20, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 997, 20, 303 is 1.

Therefore, GCD of numbers 348, 997, 20, 303 is 1

Given Input Data is 348, 997, 20, 303

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 997 is 997

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 303 is 3 x 101

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(348, 997) = 346956

GCD(348, 997) = ( 348 x 997 ) / 346956

GCD(348, 997) = 346956 / 346956

GCD(348, 997) = 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 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 348, 997, 20, 303 is 1

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1. What is the GCD of 348, 997, 20, 303?

GCD of 348, 997, 20, 303 is 1

2. Where do I get the detailed procedure to find GCD of 348, 997, 20, 303?

You can find a detailed procedure to find GCD of 348, 997, 20, 303 on our page.

3. How to find GCD of 348, 997, 20, 303 on a calculator?

You can find the GCD of 348, 997, 20, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.