GCD of 298, 646, 337, 871 Calculator

Given Input numbers are 298, 646, 337, 871

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 298, 646, 337, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 646, 337, 871 is 1.

Therefore, GCD of numbers 298, 646, 337, 871 is 1

Given Input Data is 298, 646, 337, 871

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 337 is 337

Prime Factorization of 871 is 13 x 67

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(298, 646) = 96254

GCD(298, 646) = ( 298 x 646 ) / 96254

GCD(298, 646) = 192508 / 96254

GCD(298, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 337

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

LCM(2, 337) = 674

GCD(2, 337) = ( 2 x 337 ) / 674

GCD(2, 337) = 674 / 674

GCD(2, 337) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 298, 646, 337, 871 is 1

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1. What is the GCD of 298, 646, 337, 871?

GCD of 298, 646, 337, 871 is 1

2. Where do I get the detailed procedure to find GCD of 298, 646, 337, 871?

You can find a detailed procedure to find GCD of 298, 646, 337, 871 on our page.

3. How to find GCD of 298, 646, 337, 871 on a calculator?

You can find the GCD of 298, 646, 337, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.