GCD of 332, 924, 112, 306 Calculator

Given Input numbers are 332, 924, 112, 306

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

Greatest Common Divisior

We found the divisors of 332, 924, 112, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 924, 112, 306 is 2.

Therefore, GCD of numbers 332, 924, 112, 306 is 2

Given Input Data is 332, 924, 112, 306

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

Prime Factorization of 332 is 2 x 2 x 83

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

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(332, 924) = 76692

GCD(332, 924) = ( 332 x 924 ) / 76692

GCD(332, 924) = 306768 / 76692

GCD(332, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 112

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

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

GCD(4, 112) = 448 / 112

GCD(4, 112) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 306

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

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

GCD(4, 306) = 1224 / 612

GCD(4, 306) = 2

GCD of 332, 924, 112, 306 is 2

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1. What is the GCD of 332, 924, 112, 306?

GCD of 332, 924, 112, 306 is 2

2. Where do I get the detailed procedure to find GCD of 332, 924, 112, 306?

You can find a detailed procedure to find GCD of 332, 924, 112, 306 on our page.

3. How to find GCD of 332, 924, 112, 306 on a calculator?

You can find the GCD of 332, 924, 112, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.