GCD of 502, 432, 46, 363 Calculator

Given Input numbers are 502, 432, 46, 363

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 502, 432, 46, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 432, 46, 363 is 1.

Therefore, GCD of numbers 502, 432, 46, 363 is 1

Given Input Data is 502, 432, 46, 363

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 46 is 2 x 23

Prime Factorization of 363 is 3 x 11 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(502, 432) = 108432

GCD(502, 432) = ( 502 x 432 ) / 108432

GCD(502, 432) = 216864 / 108432

GCD(502, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

GCD of 502, 432, 46, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 285, 57, 115
• GCD of 115, 885, 98, 446
• GCD of 646, 243, 96, 943
• GCD of 417, 618, 27, 612
• GCD of 704, 587, 15, 302

1. What is the GCD of 502, 432, 46, 363?

GCD of 502, 432, 46, 363 is 1

2. Where do I get the detailed procedure to find GCD of 502, 432, 46, 363?

You can find a detailed procedure to find GCD of 502, 432, 46, 363 on our page.

3. How to find GCD of 502, 432, 46, 363 on a calculator?

You can find the GCD of 502, 432, 46, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.