GCD of 386, 724, 285 Calculator

Given Input numbers are 386, 724, 285

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 386, 724, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 724, 285 is 1.

Therefore, GCD of numbers 386, 724, 285 is 1

Given Input Data is 386, 724, 285

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 285 is 3 x 5 x 19

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(386, 724) = 139732

GCD(386, 724) = ( 386 x 724 ) / 139732

GCD(386, 724) = 279464 / 139732

GCD(386, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

GCD of 386, 724, 285 is 1

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1. What is the GCD of 386, 724, 285?

GCD of 386, 724, 285 is 1

2. Where do I get the detailed procedure to find GCD of 386, 724, 285?

You can find a detailed procedure to find GCD of 386, 724, 285 on our page.

3. How to find GCD of 386, 724, 285 on a calculator?

You can find the GCD of 386, 724, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.