GCD of 498, 514, 990, 271 Calculator

Given Input numbers are 498, 514, 990, 271

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 498, 514, 990, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 514, 990, 271 is 1.

Therefore, GCD of numbers 498, 514, 990, 271 is 1

Given Input Data is 498, 514, 990, 271

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 514 is 2 x 257

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 271 is 271

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, 514) = 127986

GCD(498, 514) = ( 498 x 514 ) / 127986

GCD(498, 514) = 255972 / 127986

GCD(498, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 271

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

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

GCD(2, 271) = 542 / 542

GCD(2, 271) = 1

GCD of 498, 514, 990, 271 is 1

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1. What is the GCD of 498, 514, 990, 271?

GCD of 498, 514, 990, 271 is 1

2. Where do I get the detailed procedure to find GCD of 498, 514, 990, 271?

You can find a detailed procedure to find GCD of 498, 514, 990, 271 on our page.

3. How to find GCD of 498, 514, 990, 271 on a calculator?

You can find the GCD of 498, 514, 990, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.