GCD of 924, 306, 338, 932 Calculator

Given Input numbers are 924, 306, 338, 932

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

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 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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 924, 306, 338, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 306, 338, 932 is 2.

Therefore, GCD of numbers 924, 306, 338, 932 is 2

Given Input Data is 924, 306, 338, 932

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

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

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 932 is 2 x 2 x 233

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(924, 306) = 47124

GCD(924, 306) = ( 924 x 306 ) / 47124

GCD(924, 306) = 282744 / 47124

GCD(924, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 338

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

LCM(6, 338) = 1014

GCD(6, 338) = ( 6 x 338 ) / 1014

GCD(6, 338) = 2028 / 1014

GCD(6, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 932

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

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

GCD(2, 932) = 1864 / 932

GCD(2, 932) = 2

GCD of 924, 306, 338, 932 is 2

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1. What is the GCD of 924, 306, 338, 932?

GCD of 924, 306, 338, 932 is 2

2. Where do I get the detailed procedure to find GCD of 924, 306, 338, 932?

You can find a detailed procedure to find GCD of 924, 306, 338, 932 on our page.

3. How to find GCD of 924, 306, 338, 932 on a calculator?

You can find the GCD of 924, 306, 338, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.