GCD of 471, 368, 338, 480 Calculator

Given Input numbers are 471, 368, 338, 480

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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

Greatest Common Divisior

We found the divisors of 471, 368, 338, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 368, 338, 480 is 1.

Therefore, GCD of numbers 471, 368, 338, 480 is 1

Given Input Data is 471, 368, 338, 480

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 338 is 2 x 13 x 13

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

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(471, 368) = 173328

GCD(471, 368) = ( 471 x 368 ) / 173328

GCD(471, 368) = 173328 / 173328

GCD(471, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 471, 368, 338, 480 is 1

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1. What is the GCD of 471, 368, 338, 480?

GCD of 471, 368, 338, 480 is 1

2. Where do I get the detailed procedure to find GCD of 471, 368, 338, 480?

You can find a detailed procedure to find GCD of 471, 368, 338, 480 on our page.

3. How to find GCD of 471, 368, 338, 480 on a calculator?

You can find the GCD of 471, 368, 338, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.