GCD of 238, 486, 743, 286 Calculator

Given Input numbers are 238, 486, 743, 286

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 238, 486, 743, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 486, 743, 286 is 1.

Therefore, GCD of numbers 238, 486, 743, 286 is 1

Given Input Data is 238, 486, 743, 286

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 743 is 743

Prime Factorization of 286 is 2 x 11 x 13

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(238, 486) = 57834

GCD(238, 486) = ( 238 x 486 ) / 57834

GCD(238, 486) = 115668 / 57834

GCD(238, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 238, 486, 743, 286 is 1

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1. What is the GCD of 238, 486, 743, 286?

GCD of 238, 486, 743, 286 is 1

2. Where do I get the detailed procedure to find GCD of 238, 486, 743, 286?

You can find a detailed procedure to find GCD of 238, 486, 743, 286 on our page.

3. How to find GCD of 238, 486, 743, 286 on a calculator?

You can find the GCD of 238, 486, 743, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.