GCD of 297, 474, 998, 643 Calculator

Given Input numbers are 297, 474, 998, 643

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 297, 474, 998, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 474, 998, 643 is 1.

Therefore, GCD of numbers 297, 474, 998, 643 is 1

Given Input Data is 297, 474, 998, 643

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 998 is 2 x 499

Prime Factorization of 643 is 643

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(297, 474) = 46926

GCD(297, 474) = ( 297 x 474 ) / 46926

GCD(297, 474) = 140778 / 46926

GCD(297, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 998

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

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

GCD(3, 998) = 2994 / 2994

GCD(3, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 297, 474, 998, 643 is 1

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1. What is the GCD of 297, 474, 998, 643?

GCD of 297, 474, 998, 643 is 1

2. Where do I get the detailed procedure to find GCD of 297, 474, 998, 643?

You can find a detailed procedure to find GCD of 297, 474, 998, 643 on our page.

3. How to find GCD of 297, 474, 998, 643 on a calculator?

You can find the GCD of 297, 474, 998, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.