GCD of 274, 815, 684, 284 Calculator

Given Input numbers are 274, 815, 684, 284

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 284

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

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 274, 815, 684, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 815, 684, 284 is 1.

Therefore, GCD of numbers 274, 815, 684, 284 is 1

Given Input Data is 274, 815, 684, 284

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 815 is 5 x 163

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 284 is 2 x 2 x 71

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(274, 815) = 223310

GCD(274, 815) = ( 274 x 815 ) / 223310

GCD(274, 815) = 223310 / 223310

GCD(274, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 274, 815, 684, 284 is 1

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1. What is the GCD of 274, 815, 684, 284?

GCD of 274, 815, 684, 284 is 1

2. Where do I get the detailed procedure to find GCD of 274, 815, 684, 284?

You can find a detailed procedure to find GCD of 274, 815, 684, 284 on our page.

3. How to find GCD of 274, 815, 684, 284 on a calculator?

You can find the GCD of 274, 815, 684, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.