GCD of 982, 934, 432, 304 Calculator

Given Input numbers are 982, 934, 432, 304

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 982, 934, 432, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 934, 432, 304 is 2.

Therefore, GCD of numbers 982, 934, 432, 304 is 2

Given Input Data is 982, 934, 432, 304

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 934 is 2 x 467

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(982, 934) = 458594

GCD(982, 934) = ( 982 x 934 ) / 458594

GCD(982, 934) = 917188 / 458594

GCD(982, 934) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 982, 934, 432, 304 is 2

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1. What is the GCD of 982, 934, 432, 304?

GCD of 982, 934, 432, 304 is 2

2. Where do I get the detailed procedure to find GCD of 982, 934, 432, 304?

You can find a detailed procedure to find GCD of 982, 934, 432, 304 on our page.

3. How to find GCD of 982, 934, 432, 304 on a calculator?

You can find the GCD of 982, 934, 432, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.