GCD of 503, 918, 311, 421 Calculator

Given Input numbers are 503, 918, 311, 421

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 503, 918, 311, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 918, 311, 421 is 1.

Therefore, GCD of numbers 503, 918, 311, 421 is 1

Given Input Data is 503, 918, 311, 421

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

Prime Factorization of 503 is 503

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 311 is 311

Prime Factorization of 421 is 421

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, 918) = 461754

GCD(503, 918) = ( 503 x 918 ) / 461754

GCD(503, 918) = 461754 / 461754

GCD(503, 918) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 503, 918, 311, 421 is 1

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1. What is the GCD of 503, 918, 311, 421?

GCD of 503, 918, 311, 421 is 1

2. Where do I get the detailed procedure to find GCD of 503, 918, 311, 421?

You can find a detailed procedure to find GCD of 503, 918, 311, 421 on our page.

3. How to find GCD of 503, 918, 311, 421 on a calculator?

You can find the GCD of 503, 918, 311, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.