GCD of 498, 540, 800 Calculator

Given Input numbers are 498, 540, 800

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

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 498, 540, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 540, 800 is 2.

Therefore, GCD of numbers 498, 540, 800 is 2

Given Input Data is 498, 540, 800

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(498, 540) = 44820

GCD(498, 540) = ( 498 x 540 ) / 44820

GCD(498, 540) = 268920 / 44820

GCD(498, 540) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 800

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

LCM(6, 800) = 2400

GCD(6, 800) = ( 6 x 800 ) / 2400

GCD(6, 800) = 4800 / 2400

GCD(6, 800) = 2

GCD of 498, 540, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 400, 147
• GCD of 325, 575, 939
• GCD of 180, 815, 210
• GCD of 797, 540, 671
• GCD of 575, 507, 751

1. What is the GCD of 498, 540, 800?

GCD of 498, 540, 800 is 2

2. Where do I get the detailed procedure to find GCD of 498, 540, 800?

You can find a detailed procedure to find GCD of 498, 540, 800 on our page.

3. How to find GCD of 498, 540, 800 on a calculator?

You can find the GCD of 498, 540, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.