GCD of 282, 890, 378 Calculator

Given Input numbers are 282, 890, 378

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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

Greatest Common Divisior

We found the divisors of 282, 890, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 890, 378 is 2.

Therefore, GCD of numbers 282, 890, 378 is 2

Given Input Data is 282, 890, 378

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 890 is 2 x 5 x 89

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 890) = 125490

GCD(282, 890) = ( 282 x 890 ) / 125490

GCD(282, 890) = 250980 / 125490

GCD(282, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

GCD of 282, 890, 378 is 2

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1. What is the GCD of 282, 890, 378?

GCD of 282, 890, 378 is 2

2. Where do I get the detailed procedure to find GCD of 282, 890, 378?

You can find a detailed procedure to find GCD of 282, 890, 378 on our page.

3. How to find GCD of 282, 890, 378 on a calculator?

You can find the GCD of 282, 890, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.