GCD of 476, 329, 23, 282 Calculator

Given Input numbers are 476, 329, 23, 282

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 282

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

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

Greatest Common Divisior

We found the divisors of 476, 329, 23, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 329, 23, 282 is 1.

Therefore, GCD of numbers 476, 329, 23, 282 is 1

Given Input Data is 476, 329, 23, 282

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 329 is 7 x 47

Prime Factorization of 23 is 23

Prime Factorization of 282 is 2 x 3 x 47

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(476, 329) = 22372

GCD(476, 329) = ( 476 x 329 ) / 22372

GCD(476, 329) = 156604 / 22372

GCD(476, 329) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 23

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

LCM(7, 23) = 161

GCD(7, 23) = ( 7 x 23 ) / 161

GCD(7, 23) = 161 / 161

GCD(7, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 476, 329, 23, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 806, 81, 903
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• GCD of 294, 109, 54, 609
• GCD of 702, 811, 27, 170

1. What is the GCD of 476, 329, 23, 282?

GCD of 476, 329, 23, 282 is 1

2. Where do I get the detailed procedure to find GCD of 476, 329, 23, 282?

You can find a detailed procedure to find GCD of 476, 329, 23, 282 on our page.

3. How to find GCD of 476, 329, 23, 282 on a calculator?

You can find the GCD of 476, 329, 23, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.