GCD of 506, 378, 258 Calculator

Given Input numbers are 506, 378, 258

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 506, 378, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 378, 258 is 2.

Therefore, GCD of numbers 506, 378, 258 is 2

Given Input Data is 506, 378, 258

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 258 is 2 x 3 x 43

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(506, 378) = 95634

GCD(506, 378) = ( 506 x 378 ) / 95634

GCD(506, 378) = 191268 / 95634

GCD(506, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 506, 378, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 351, 942
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1. What is the GCD of 506, 378, 258?

GCD of 506, 378, 258 is 2

2. Where do I get the detailed procedure to find GCD of 506, 378, 258?

You can find a detailed procedure to find GCD of 506, 378, 258 on our page.

3. How to find GCD of 506, 378, 258 on a calculator?

You can find the GCD of 506, 378, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.