GCD of 997, 274, 381, 255 Calculator

Given Input numbers are 997, 274, 381, 255

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 274

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

1, 2, 137, 274

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 997, 274, 381, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 274, 381, 255 is 1.

Therefore, GCD of numbers 997, 274, 381, 255 is 1

Given Input Data is 997, 274, 381, 255

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

Prime Factorization of 997 is 997

Prime Factorization of 274 is 2 x 137

Prime Factorization of 381 is 3 x 127

Prime Factorization of 255 is 3 x 5 x 17

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(997, 274) = 273178

GCD(997, 274) = ( 997 x 274 ) / 273178

GCD(997, 274) = 273178 / 273178

GCD(997, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 997, 274, 381, 255 is 1

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1. What is the GCD of 997, 274, 381, 255?

GCD of 997, 274, 381, 255 is 1

2. Where do I get the detailed procedure to find GCD of 997, 274, 381, 255?

You can find a detailed procedure to find GCD of 997, 274, 381, 255 on our page.

3. How to find GCD of 997, 274, 381, 255 on a calculator?

You can find the GCD of 997, 274, 381, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.