GCD of 471, 360, 80, 323 Calculator

Given Input numbers are 471, 360, 80, 323

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 471, 360, 80, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 360, 80, 323 is 1.

Therefore, GCD of numbers 471, 360, 80, 323 is 1

Given Input Data is 471, 360, 80, 323

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 323 is 17 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(471, 360) = 56520

GCD(471, 360) = ( 471 x 360 ) / 56520

GCD(471, 360) = 169560 / 56520

GCD(471, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 80

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

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

GCD(3, 80) = 240 / 240

GCD(3, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 471, 360, 80, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 999, 70, 757
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• GCD of 829, 311, 20, 731

1. What is the GCD of 471, 360, 80, 323?

GCD of 471, 360, 80, 323 is 1

2. Where do I get the detailed procedure to find GCD of 471, 360, 80, 323?

You can find a detailed procedure to find GCD of 471, 360, 80, 323 on our page.

3. How to find GCD of 471, 360, 80, 323 on a calculator?

You can find the GCD of 471, 360, 80, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.