GCD of 282, 868, 207, 342 Calculator

Given Input numbers are 282, 868, 207, 342

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 282, 868, 207, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 868, 207, 342 is 1.

Therefore, GCD of numbers 282, 868, 207, 342 is 1

Given Input Data is 282, 868, 207, 342

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 342 is 2 x 3 x 3 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(282, 868) = 122388

GCD(282, 868) = ( 282 x 868 ) / 122388

GCD(282, 868) = 244776 / 122388

GCD(282, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 282, 868, 207, 342 is 1

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1. What is the GCD of 282, 868, 207, 342?

GCD of 282, 868, 207, 342 is 1

2. Where do I get the detailed procedure to find GCD of 282, 868, 207, 342?

You can find a detailed procedure to find GCD of 282, 868, 207, 342 on our page.

3. How to find GCD of 282, 868, 207, 342 on a calculator?

You can find the GCD of 282, 868, 207, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.