GCD of 474, 430, 924, 330 Calculator

Given Input numbers are 474, 430, 924, 330

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 474, 430, 924, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 430, 924, 330 is 2.

Therefore, GCD of numbers 474, 430, 924, 330 is 2

Given Input Data is 474, 430, 924, 330

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 330 is 2 x 3 x 5 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(474, 430) = 101910

GCD(474, 430) = ( 474 x 430 ) / 101910

GCD(474, 430) = 203820 / 101910

GCD(474, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

GCD of 474, 430, 924, 330 is 2

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1. What is the GCD of 474, 430, 924, 330?

GCD of 474, 430, 924, 330 is 2

2. Where do I get the detailed procedure to find GCD of 474, 430, 924, 330?

You can find a detailed procedure to find GCD of 474, 430, 924, 330 on our page.

3. How to find GCD of 474, 430, 924, 330 on a calculator?

You can find the GCD of 474, 430, 924, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.