GCD of 282, 645, 221, 132 Calculator

Given Input numbers are 282, 645, 221, 132

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 282, 645, 221, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 645, 221, 132 is 1.

Therefore, GCD of numbers 282, 645, 221, 132 is 1

Given Input Data is 282, 645, 221, 132

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 645 is 3 x 5 x 43

Prime Factorization of 221 is 13 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

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, 645) = 60630

GCD(282, 645) = ( 282 x 645 ) / 60630

GCD(282, 645) = 181890 / 60630

GCD(282, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 221

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

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

GCD(3, 221) = 663 / 663

GCD(3, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 282, 645, 221, 132 is 1

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1. What is the GCD of 282, 645, 221, 132?

GCD of 282, 645, 221, 132 is 1

2. Where do I get the detailed procedure to find GCD of 282, 645, 221, 132?

You can find a detailed procedure to find GCD of 282, 645, 221, 132 on our page.

3. How to find GCD of 282, 645, 221, 132 on a calculator?

You can find the GCD of 282, 645, 221, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.