GCD of 398, 274, 97, 452 Calculator

Given Input numbers are 398, 274, 97, 452

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 97

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

1, 97

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 398, 274, 97, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 274, 97, 452 is 1.

Therefore, GCD of numbers 398, 274, 97, 452 is 1

Given Input Data is 398, 274, 97, 452

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 274 is 2 x 137

Prime Factorization of 97 is 97

Prime Factorization of 452 is 2 x 2 x 113

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, 274) = 54526

GCD(398, 274) = ( 398 x 274 ) / 54526

GCD(398, 274) = 109052 / 54526

GCD(398, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 398, 274, 97, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 365, 94, 580
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1. What is the GCD of 398, 274, 97, 452?

GCD of 398, 274, 97, 452 is 1

2. Where do I get the detailed procedure to find GCD of 398, 274, 97, 452?

You can find a detailed procedure to find GCD of 398, 274, 97, 452 on our page.

3. How to find GCD of 398, 274, 97, 452 on a calculator?

You can find the GCD of 398, 274, 97, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.