GCD of 503, 200, 830, 462 Calculator

Given Input numbers are 503, 200, 830, 462

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 503

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

1, 503

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 503, 200, 830, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 200, 830, 462 is 1.

Therefore, GCD of numbers 503, 200, 830, 462 is 1

Given Input Data is 503, 200, 830, 462

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 503 is 503

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(503, 200) = 100600

GCD(503, 200) = ( 503 x 200 ) / 100600

GCD(503, 200) = 100600 / 100600

GCD(503, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 503, 200, 830, 462 is 1

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1. What is the GCD of 503, 200, 830, 462?

GCD of 503, 200, 830, 462 is 1

2. Where do I get the detailed procedure to find GCD of 503, 200, 830, 462?

You can find a detailed procedure to find GCD of 503, 200, 830, 462 on our page.

3. How to find GCD of 503, 200, 830, 462 on a calculator?

You can find the GCD of 503, 200, 830, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.