GCD of 804, 498, 496, 528 Calculator

Given Input numbers are 804, 498, 496, 528

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 804, 498, 496, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 498, 496, 528 is 2.

Therefore, GCD of numbers 804, 498, 496, 528 is 2

Given Input Data is 804, 498, 496, 528

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(804, 498) = 66732

GCD(804, 498) = ( 804 x 498 ) / 66732

GCD(804, 498) = 400392 / 66732

GCD(804, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 496

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

LCM(6, 496) = 1488

GCD(6, 496) = ( 6 x 496 ) / 1488

GCD(6, 496) = 2976 / 1488

GCD(6, 496) = 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 804, 498, 496, 528 is 2

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1. What is the GCD of 804, 498, 496, 528?

GCD of 804, 498, 496, 528 is 2

2. Where do I get the detailed procedure to find GCD of 804, 498, 496, 528?

You can find a detailed procedure to find GCD of 804, 498, 496, 528 on our page.

3. How to find GCD of 804, 498, 496, 528 on a calculator?

You can find the GCD of 804, 498, 496, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.