GCD of 462, 742, 243, 568 Calculator

Given Input numbers are 462, 742, 243, 568

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 462, 742, 243, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 742, 243, 568 is 1.

Therefore, GCD of numbers 462, 742, 243, 568 is 1

Given Input Data is 462, 742, 243, 568

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 568 is 2 x 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(462, 742) = 24486

GCD(462, 742) = ( 462 x 742 ) / 24486

GCD(462, 742) = 342804 / 24486

GCD(462, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 243

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

LCM(14, 243) = 3402

GCD(14, 243) = ( 14 x 243 ) / 3402

GCD(14, 243) = 3402 / 3402

GCD(14, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 568

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

LCM(1, 568) = 568

GCD(1, 568) = ( 1 x 568 ) / 568

GCD(1, 568) = 568 / 568

GCD(1, 568) = 1

GCD of 462, 742, 243, 568 is 1

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1. What is the GCD of 462, 742, 243, 568?

GCD of 462, 742, 243, 568 is 1

2. Where do I get the detailed procedure to find GCD of 462, 742, 243, 568?

You can find a detailed procedure to find GCD of 462, 742, 243, 568 on our page.

3. How to find GCD of 462, 742, 243, 568 on a calculator?

You can find the GCD of 462, 742, 243, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.