GCD of 378, 144, 282 Calculator

Given Input numbers are 378, 144, 282

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 378, 144, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 144, 282 is 6.

Therefore, GCD of numbers 378, 144, 282 is 6

Given Input Data is 378, 144, 282

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 282 is 2 x 3 x 47

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(378, 144) = 3024

GCD(378, 144) = ( 378 x 144 ) / 3024

GCD(378, 144) = 54432 / 3024

GCD(378, 144) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 282

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

LCM(18, 282) = 846

GCD(18, 282) = ( 18 x 282 ) / 846

GCD(18, 282) = 5076 / 846

GCD(18, 282) = 6

GCD of 378, 144, 282 is 6

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• GCD of 559, 113, 769
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1. What is the GCD of 378, 144, 282?

GCD of 378, 144, 282 is 6

2. Where do I get the detailed procedure to find GCD of 378, 144, 282?

You can find a detailed procedure to find GCD of 378, 144, 282 on our page.

3. How to find GCD of 378, 144, 282 on a calculator?

You can find the GCD of 378, 144, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.