GCD of 97, 677, 198, 382 Calculator

Given Input numbers are 97, 677, 198, 382

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 97, 677, 198, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 677, 198, 382 is 1.

Therefore, GCD of numbers 97, 677, 198, 382 is 1

Given Input Data is 97, 677, 198, 382

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

Prime Factorization of 97 is 97

Prime Factorization of 677 is 677

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

Prime Factorization of 382 is 2 x 191

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(97, 677) = 65669

GCD(97, 677) = ( 97 x 677 ) / 65669

GCD(97, 677) = 65669 / 65669

GCD(97, 677) = 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 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 97, 677, 198, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 302, 434, 399
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• GCD of 63, 591, 729, 604

1. What is the GCD of 97, 677, 198, 382?

GCD of 97, 677, 198, 382 is 1

2. Where do I get the detailed procedure to find GCD of 97, 677, 198, 382?

You can find a detailed procedure to find GCD of 97, 677, 198, 382 on our page.

3. How to find GCD of 97, 677, 198, 382 on a calculator?

You can find the GCD of 97, 677, 198, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.