GCD of 426, 231, 825, 503 Calculator

Given Input numbers are 426, 231, 825, 503

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 503

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

1, 503

Greatest Common Divisior

We found the divisors of 426, 231, 825, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 231, 825, 503 is 1.

Therefore, GCD of numbers 426, 231, 825, 503 is 1

Given Input Data is 426, 231, 825, 503

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 503 is 503

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(426, 231) = 32802

GCD(426, 231) = ( 426 x 231 ) / 32802

GCD(426, 231) = 98406 / 32802

GCD(426, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 825

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

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

GCD(3, 825) = 2475 / 825

GCD(3, 825) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 503

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

LCM(3, 503) = 1509

GCD(3, 503) = ( 3 x 503 ) / 1509

GCD(3, 503) = 1509 / 1509

GCD(3, 503) = 1

GCD of 426, 231, 825, 503 is 1

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1. What is the GCD of 426, 231, 825, 503?

GCD of 426, 231, 825, 503 is 1

2. Where do I get the detailed procedure to find GCD of 426, 231, 825, 503?

You can find a detailed procedure to find GCD of 426, 231, 825, 503 on our page.

3. How to find GCD of 426, 231, 825, 503 on a calculator?

You can find the GCD of 426, 231, 825, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.