GCD of 498, 822, 15, 360 Calculator

Given Input numbers are 498, 822, 15, 360

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 498, 822, 15, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 822, 15, 360 is 3.

Therefore, GCD of numbers 498, 822, 15, 360 is 3

Given Input Data is 498, 822, 15, 360

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 822 is 2 x 3 x 137

Prime Factorization of 15 is 3 x 5

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 822) = 68226

GCD(498, 822) = ( 498 x 822 ) / 68226

GCD(498, 822) = 409356 / 68226

GCD(498, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 360

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

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

GCD(3, 360) = 1080 / 360

GCD(3, 360) = 3

GCD of 498, 822, 15, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 165, 34, 712
• GCD of 715, 584, 63, 273
• GCD of 861, 671, 48, 743
• GCD of 888, 215, 31, 874
• GCD of 661, 714, 39, 547

1. What is the GCD of 498, 822, 15, 360?

GCD of 498, 822, 15, 360 is 3

2. Where do I get the detailed procedure to find GCD of 498, 822, 15, 360?

You can find a detailed procedure to find GCD of 498, 822, 15, 360 on our page.

3. How to find GCD of 498, 822, 15, 360 on a calculator?

You can find the GCD of 498, 822, 15, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.