GCD of 403, 282, 448, 168 Calculator

Given Input numbers are 403, 282, 448, 168

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

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

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 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 403, 282, 448, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 282, 448, 168 is 1.

Therefore, GCD of numbers 403, 282, 448, 168 is 1

Given Input Data is 403, 282, 448, 168

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(403, 282) = 113646

GCD(403, 282) = ( 403 x 282 ) / 113646

GCD(403, 282) = 113646 / 113646

GCD(403, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 403, 282, 448, 168 is 1

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1. What is the GCD of 403, 282, 448, 168?

GCD of 403, 282, 448, 168 is 1

2. Where do I get the detailed procedure to find GCD of 403, 282, 448, 168?

You can find a detailed procedure to find GCD of 403, 282, 448, 168 on our page.

3. How to find GCD of 403, 282, 448, 168 on a calculator?

You can find the GCD of 403, 282, 448, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.