GCD of 501, 392, 104, 460 Calculator

Given Input numbers are 501, 392, 104, 460

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 501, 392, 104, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 392, 104, 460 is 1.

Therefore, GCD of numbers 501, 392, 104, 460 is 1

Given Input Data is 501, 392, 104, 460

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(501, 392) = 196392

GCD(501, 392) = ( 501 x 392 ) / 196392

GCD(501, 392) = 196392 / 196392

GCD(501, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 501, 392, 104, 460 is 1

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1. What is the GCD of 501, 392, 104, 460?

GCD of 501, 392, 104, 460 is 1

2. Where do I get the detailed procedure to find GCD of 501, 392, 104, 460?

You can find a detailed procedure to find GCD of 501, 392, 104, 460 on our page.

3. How to find GCD of 501, 392, 104, 460 on a calculator?

You can find the GCD of 501, 392, 104, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.