GCD of 480, 282, 301, 172 Calculator

Given Input numbers are 480, 282, 301, 172

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 480, 282, 301, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 282, 301, 172 is 1.

Therefore, GCD of numbers 480, 282, 301, 172 is 1

Given Input Data is 480, 282, 301, 172

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 301 is 7 x 43

Prime Factorization of 172 is 2 x 2 x 43

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(480, 282) = 22560

GCD(480, 282) = ( 480 x 282 ) / 22560

GCD(480, 282) = 135360 / 22560

GCD(480, 282) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 301

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

LCM(6, 301) = 1806

GCD(6, 301) = ( 6 x 301 ) / 1806

GCD(6, 301) = 1806 / 1806

GCD(6, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 480, 282, 301, 172 is 1

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1. What is the GCD of 480, 282, 301, 172?

GCD of 480, 282, 301, 172 is 1

2. Where do I get the detailed procedure to find GCD of 480, 282, 301, 172?

You can find a detailed procedure to find GCD of 480, 282, 301, 172 on our page.

3. How to find GCD of 480, 282, 301, 172 on a calculator?

You can find the GCD of 480, 282, 301, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.