GCD of 284, 358, 675 Calculator

Given Input numbers are 284, 358, 675

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 284, 358, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 358, 675 is 1.

Therefore, GCD of numbers 284, 358, 675 is 1

Given Input Data is 284, 358, 675

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 358 is 2 x 179

Prime Factorization of 675 is 3 x 3 x 3 x 5 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(284, 358) = 50836

GCD(284, 358) = ( 284 x 358 ) / 50836

GCD(284, 358) = 101672 / 50836

GCD(284, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 284, 358, 675 is 1

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1. What is the GCD of 284, 358, 675?

GCD of 284, 358, 675 is 1

2. Where do I get the detailed procedure to find GCD of 284, 358, 675?

You can find a detailed procedure to find GCD of 284, 358, 675 on our page.

3. How to find GCD of 284, 358, 675 on a calculator?

You can find the GCD of 284, 358, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.