GCD of 198, 464, 647 Calculator

Given Input numbers are 198, 464, 647

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

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 198, 464, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 464, 647 is 1.

Therefore, GCD of numbers 198, 464, 647 is 1

Given Input Data is 198, 464, 647

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

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 647 is 647

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(198, 464) = 45936

GCD(198, 464) = ( 198 x 464 ) / 45936

GCD(198, 464) = 91872 / 45936

GCD(198, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 647

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

LCM(2, 647) = 1294

GCD(2, 647) = ( 2 x 647 ) / 1294

GCD(2, 647) = 1294 / 1294

GCD(2, 647) = 1

GCD of 198, 464, 647 is 1

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1. What is the GCD of 198, 464, 647?

GCD of 198, 464, 647 is 1

2. Where do I get the detailed procedure to find GCD of 198, 464, 647?

You can find a detailed procedure to find GCD of 198, 464, 647 on our page.

3. How to find GCD of 198, 464, 647 on a calculator?

You can find the GCD of 198, 464, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.