GCD of 348, 311, 198, 247 Calculator

Given Input numbers are 348, 311, 198, 247

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 348, 311, 198, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 311, 198, 247 is 1.

Therefore, GCD of numbers 348, 311, 198, 247 is 1

Given Input Data is 348, 311, 198, 247

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 311 is 311

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 247 is 13 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(348, 311) = 108228

GCD(348, 311) = ( 348 x 311 ) / 108228

GCD(348, 311) = 108228 / 108228

GCD(348, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 348, 311, 198, 247 is 1

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• GCD of 711, 209, 929, 772
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1. What is the GCD of 348, 311, 198, 247?

GCD of 348, 311, 198, 247 is 1

2. Where do I get the detailed procedure to find GCD of 348, 311, 198, 247?

You can find a detailed procedure to find GCD of 348, 311, 198, 247 on our page.

3. How to find GCD of 348, 311, 198, 247 on a calculator?

You can find the GCD of 348, 311, 198, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.