GCD of 498, 499, 563, 280 Calculator

Given Input numbers are 498, 499, 563, 280

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 498, 499, 563, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 499, 563, 280 is 1.

Therefore, GCD of numbers 498, 499, 563, 280 is 1

Given Input Data is 498, 499, 563, 280

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 499 is 499

Prime Factorization of 563 is 563

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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, 499) = 248502

GCD(498, 499) = ( 498 x 499 ) / 248502

GCD(498, 499) = 248502 / 248502

GCD(498, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 498, 499, 563, 280 is 1

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1. What is the GCD of 498, 499, 563, 280?

GCD of 498, 499, 563, 280 is 1

2. Where do I get the detailed procedure to find GCD of 498, 499, 563, 280?

You can find a detailed procedure to find GCD of 498, 499, 563, 280 on our page.

3. How to find GCD of 498, 499, 563, 280 on a calculator?

You can find the GCD of 498, 499, 563, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.