GCD of 302, 132, 42, 594 Calculator

Given Input numbers are 302, 132, 42, 594

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 302, 132, 42, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 132, 42, 594 is 2.

Therefore, GCD of numbers 302, 132, 42, 594 is 2

Given Input Data is 302, 132, 42, 594

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

Prime Factorization of 302 is 2 x 151

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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(302, 132) = 19932

GCD(302, 132) = ( 302 x 132 ) / 19932

GCD(302, 132) = 39864 / 19932

GCD(302, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

GCD of 302, 132, 42, 594 is 2

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• GCD of 623, 609, 27, 759
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1. What is the GCD of 302, 132, 42, 594?

GCD of 302, 132, 42, 594 is 2

2. Where do I get the detailed procedure to find GCD of 302, 132, 42, 594?

You can find a detailed procedure to find GCD of 302, 132, 42, 594 on our page.

3. How to find GCD of 302, 132, 42, 594 on a calculator?

You can find the GCD of 302, 132, 42, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.