GCD of 306, 501, 363 Calculator

Given Input numbers are 306, 501, 363

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 306, 501, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 501, 363 is 3.

Therefore, GCD of numbers 306, 501, 363 is 3

Given Input Data is 306, 501, 363

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 501 is 3 x 167

Prime Factorization of 363 is 3 x 11 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(306, 501) = 51102

GCD(306, 501) = ( 306 x 501 ) / 51102

GCD(306, 501) = 153306 / 51102

GCD(306, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

GCD of 306, 501, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 354, 237
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• GCD of 580, 567, 957
• GCD of 506, 447, 881

1. What is the GCD of 306, 501, 363?

GCD of 306, 501, 363 is 3

2. Where do I get the detailed procedure to find GCD of 306, 501, 363?

You can find a detailed procedure to find GCD of 306, 501, 363 on our page.

3. How to find GCD of 306, 501, 363 on a calculator?

You can find the GCD of 306, 501, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.