GCD of 397, 263, 309, 240 Calculator

Given Input numbers are 397, 263, 309, 240

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 397, 263, 309, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 263, 309, 240 is 1.

Therefore, GCD of numbers 397, 263, 309, 240 is 1

Given Input Data is 397, 263, 309, 240

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

Prime Factorization of 397 is 397

Prime Factorization of 263 is 263

Prime Factorization of 309 is 3 x 103

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(397, 263) = 104411

GCD(397, 263) = ( 397 x 263 ) / 104411

GCD(397, 263) = 104411 / 104411

GCD(397, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 397, 263, 309, 240 is 1

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1. What is the GCD of 397, 263, 309, 240?

GCD of 397, 263, 309, 240 is 1

2. Where do I get the detailed procedure to find GCD of 397, 263, 309, 240?

You can find a detailed procedure to find GCD of 397, 263, 309, 240 on our page.

3. How to find GCD of 397, 263, 309, 240 on a calculator?

You can find the GCD of 397, 263, 309, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.