GCD of 378, 590, 468 Calculator

Given Input numbers are 378, 590, 468

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 378, 590, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 590, 468 is 2.

Therefore, GCD of numbers 378, 590, 468 is 2

Given Input Data is 378, 590, 468

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 590 is 2 x 5 x 59

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(378, 590) = 111510

GCD(378, 590) = ( 378 x 590 ) / 111510

GCD(378, 590) = 223020 / 111510

GCD(378, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 378, 590, 468 is 2

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• GCD of 581, 104, 460
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1. What is the GCD of 378, 590, 468?

GCD of 378, 590, 468 is 2

2. Where do I get the detailed procedure to find GCD of 378, 590, 468?

You can find a detailed procedure to find GCD of 378, 590, 468 on our page.

3. How to find GCD of 378, 590, 468 on a calculator?

You can find the GCD of 378, 590, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.