GCD of 498, 995, 81, 507 Calculator

Given Input numbers are 498, 995, 81, 507

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 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 498, 995, 81, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 995, 81, 507 is 1.

Therefore, GCD of numbers 498, 995, 81, 507 is 1

Given Input Data is 498, 995, 81, 507

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 995 is 5 x 199

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 507 is 3 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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, 995) = 495510

GCD(498, 995) = ( 498 x 995 ) / 495510

GCD(498, 995) = 495510 / 495510

GCD(498, 995) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 498, 995, 81, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 208, 12, 934
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• GCD of 300, 507, 84, 171

1. What is the GCD of 498, 995, 81, 507?

GCD of 498, 995, 81, 507 is 1

2. Where do I get the detailed procedure to find GCD of 498, 995, 81, 507?

You can find a detailed procedure to find GCD of 498, 995, 81, 507 on our page.

3. How to find GCD of 498, 995, 81, 507 on a calculator?

You can find the GCD of 498, 995, 81, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.