GCD of 287, 997, 216, 462 Calculator

Given Input numbers are 287, 997, 216, 462

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 997

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

1, 997

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 287, 997, 216, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 997, 216, 462 is 1.

Therefore, GCD of numbers 287, 997, 216, 462 is 1

Given Input Data is 287, 997, 216, 462

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 997 is 997

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(287, 997) = 286139

GCD(287, 997) = ( 287 x 997 ) / 286139

GCD(287, 997) = 286139 / 286139

GCD(287, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 287, 997, 216, 462 is 1

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1. What is the GCD of 287, 997, 216, 462?

GCD of 287, 997, 216, 462 is 1

2. Where do I get the detailed procedure to find GCD of 287, 997, 216, 462?

You can find a detailed procedure to find GCD of 287, 997, 216, 462 on our page.

3. How to find GCD of 287, 997, 216, 462 on a calculator?

You can find the GCD of 287, 997, 216, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.