GCD of 304, 982, 54, 528 Calculator

Given Input numbers are 304, 982, 54, 528

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

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

Divisors of 982

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

1, 2, 491, 982

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 304, 982, 54, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 982, 54, 528 is 2.

Therefore, GCD of numbers 304, 982, 54, 528 is 2

Given Input Data is 304, 982, 54, 528

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

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(304, 982) = 149264

GCD(304, 982) = ( 304 x 982 ) / 149264

GCD(304, 982) = 298528 / 149264

GCD(304, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 304, 982, 54, 528 is 2

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1. What is the GCD of 304, 982, 54, 528?

GCD of 304, 982, 54, 528 is 2

2. Where do I get the detailed procedure to find GCD of 304, 982, 54, 528?

You can find a detailed procedure to find GCD of 304, 982, 54, 528 on our page.

3. How to find GCD of 304, 982, 54, 528 on a calculator?

You can find the GCD of 304, 982, 54, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.