GCD of 503, 434, 36, 821 Calculator

Given Input numbers are 503, 434, 36, 821

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 503, 434, 36, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 434, 36, 821 is 1.

Therefore, GCD of numbers 503, 434, 36, 821 is 1

Given Input Data is 503, 434, 36, 821

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

Prime Factorization of 503 is 503

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 821 is 821

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, 434) = 218302

GCD(503, 434) = ( 503 x 434 ) / 218302

GCD(503, 434) = 218302 / 218302

GCD(503, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 503, 434, 36, 821 is 1

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1. What is the GCD of 503, 434, 36, 821?

GCD of 503, 434, 36, 821 is 1

2. Where do I get the detailed procedure to find GCD of 503, 434, 36, 821?

You can find a detailed procedure to find GCD of 503, 434, 36, 821 on our page.

3. How to find GCD of 503, 434, 36, 821 on a calculator?

You can find the GCD of 503, 434, 36, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.