GCD of 284, 264, 40, 281 Calculator

Given Input numbers are 284, 264, 40, 281

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 284, 264, 40, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 264, 40, 281 is 1.

Therefore, GCD of numbers 284, 264, 40, 281 is 1

Given Input Data is 284, 264, 40, 281

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 281 is 281

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(284, 264) = 18744

GCD(284, 264) = ( 284 x 264 ) / 18744

GCD(284, 264) = 74976 / 18744

GCD(284, 264) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 281

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

LCM(4, 281) = 1124

GCD(4, 281) = ( 4 x 281 ) / 1124

GCD(4, 281) = 1124 / 1124

GCD(4, 281) = 1

GCD of 284, 264, 40, 281 is 1

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• GCD of 782, 673, 41, 929
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1. What is the GCD of 284, 264, 40, 281?

GCD of 284, 264, 40, 281 is 1

2. Where do I get the detailed procedure to find GCD of 284, 264, 40, 281?

You can find a detailed procedure to find GCD of 284, 264, 40, 281 on our page.

3. How to find GCD of 284, 264, 40, 281 on a calculator?

You can find the GCD of 284, 264, 40, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.