GCD of 498, 600, 503, 104 Calculator

Given Input numbers are 498, 600, 503, 104

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 498, 600, 503, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 600, 503, 104 is 1.

Therefore, GCD of numbers 498, 600, 503, 104 is 1

Given Input Data is 498, 600, 503, 104

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 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 503 is 503

Prime Factorization of 104 is 2 x 2 x 2 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, 600) = 49800

GCD(498, 600) = ( 498 x 600 ) / 49800

GCD(498, 600) = 298800 / 49800

GCD(498, 600) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 503

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

LCM(6, 503) = 3018

GCD(6, 503) = ( 6 x 503 ) / 3018

GCD(6, 503) = 3018 / 3018

GCD(6, 503) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 498, 600, 503, 104 is 1

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1. What is the GCD of 498, 600, 503, 104?

GCD of 498, 600, 503, 104 is 1

2. Where do I get the detailed procedure to find GCD of 498, 600, 503, 104?

You can find a detailed procedure to find GCD of 498, 600, 503, 104 on our page.

3. How to find GCD of 498, 600, 503, 104 on a calculator?

You can find the GCD of 498, 600, 503, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.