GCD of 398, 647, 185, 650 Calculator

Given Input numbers are 398, 647, 185, 650

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 647

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

1, 647

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 398, 647, 185, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 647, 185, 650 is 1.

Therefore, GCD of numbers 398, 647, 185, 650 is 1

Given Input Data is 398, 647, 185, 650

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 647 is 647

Prime Factorization of 185 is 5 x 37

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(398, 647) = 257506

GCD(398, 647) = ( 398 x 647 ) / 257506

GCD(398, 647) = 257506 / 257506

GCD(398, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 398, 647, 185, 650 is 1

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1. What is the GCD of 398, 647, 185, 650?

GCD of 398, 647, 185, 650 is 1

2. Where do I get the detailed procedure to find GCD of 398, 647, 185, 650?

You can find a detailed procedure to find GCD of 398, 647, 185, 650 on our page.

3. How to find GCD of 398, 647, 185, 650 on a calculator?

You can find the GCD of 398, 647, 185, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.