GCD of 282, 141, 65, 471 Calculator

Given Input numbers are 282, 141, 65, 471

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

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 282, 141, 65, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 141, 65, 471 is 1.

Therefore, GCD of numbers 282, 141, 65, 471 is 1

Given Input Data is 282, 141, 65, 471

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 141 is 3 x 47

Prime Factorization of 65 is 5 x 13

Prime Factorization of 471 is 3 x 157

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(282, 141) = 282

GCD(282, 141) = ( 282 x 141 ) / 282

GCD(282, 141) = 39762 / 282

GCD(282, 141) = 141

Step2:

Here we consider the GCD from the above i.e. 141 as first number and the next as 65

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

LCM(141, 65) = 9165

GCD(141, 65) = ( 141 x 65 ) / 9165

GCD(141, 65) = 9165 / 9165

GCD(141, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 282, 141, 65, 471 is 1

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• GCD of 344, 970, 88, 831
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• GCD of 422, 405, 71, 683

1. What is the GCD of 282, 141, 65, 471?

GCD of 282, 141, 65, 471 is 1

2. Where do I get the detailed procedure to find GCD of 282, 141, 65, 471?

You can find a detailed procedure to find GCD of 282, 141, 65, 471 on our page.

3. How to find GCD of 282, 141, 65, 471 on a calculator?

You can find the GCD of 282, 141, 65, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.