GCD of 306, 360, 494, 524 Calculator

Given Input numbers are 306, 360, 494, 524

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 306, 360, 494, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 360, 494, 524 is 2.

Therefore, GCD of numbers 306, 360, 494, 524 is 2

Given Input Data is 306, 360, 494, 524

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 524 is 2 x 2 x 131

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(306, 360) = 6120

GCD(306, 360) = ( 306 x 360 ) / 6120

GCD(306, 360) = 110160 / 6120

GCD(306, 360) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 494

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

LCM(18, 494) = 4446

GCD(18, 494) = ( 18 x 494 ) / 4446

GCD(18, 494) = 8892 / 4446

GCD(18, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 306, 360, 494, 524 is 2

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• GCD of 424, 194, 516, 351
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1. What is the GCD of 306, 360, 494, 524?

GCD of 306, 360, 494, 524 is 2

2. Where do I get the detailed procedure to find GCD of 306, 360, 494, 524?

You can find a detailed procedure to find GCD of 306, 360, 494, 524 on our page.

3. How to find GCD of 306, 360, 494, 524 on a calculator?

You can find the GCD of 306, 360, 494, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.