GCD of 416, 108, 241, 501 Calculator

Given Input numbers are 416, 108, 241, 501

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 501

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

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 416, 108, 241, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 108, 241, 501 is 1.

Therefore, GCD of numbers 416, 108, 241, 501 is 1

Given Input Data is 416, 108, 241, 501

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 241 is 241

Prime Factorization of 501 is 3 x 167

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(416, 108) = 11232

GCD(416, 108) = ( 416 x 108 ) / 11232

GCD(416, 108) = 44928 / 11232

GCD(416, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 241

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

LCM(4, 241) = 964

GCD(4, 241) = ( 4 x 241 ) / 964

GCD(4, 241) = 964 / 964

GCD(4, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 416, 108, 241, 501 is 1

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1. What is the GCD of 416, 108, 241, 501?

GCD of 416, 108, 241, 501 is 1

2. Where do I get the detailed procedure to find GCD of 416, 108, 241, 501?

You can find a detailed procedure to find GCD of 416, 108, 241, 501 on our page.

3. How to find GCD of 416, 108, 241, 501 on a calculator?

You can find the GCD of 416, 108, 241, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.