GCD of 416, 483, 814, 108 Calculator

Given Input numbers are 416, 483, 814, 108

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 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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

Greatest Common Divisior

We found the divisors of 416, 483, 814, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 483, 814, 108 is 1.

Therefore, GCD of numbers 416, 483, 814, 108 is 1

Given Input Data is 416, 483, 814, 108

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 483 is 3 x 7 x 23

Prime Factorization of 814 is 2 x 11 x 37

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

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, 483) = 200928

GCD(416, 483) = ( 416 x 483 ) / 200928

GCD(416, 483) = 200928 / 200928

GCD(416, 483) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 416, 483, 814, 108 is 1

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1. What is the GCD of 416, 483, 814, 108?

GCD of 416, 483, 814, 108 is 1

2. Where do I get the detailed procedure to find GCD of 416, 483, 814, 108?

You can find a detailed procedure to find GCD of 416, 483, 814, 108 on our page.

3. How to find GCD of 416, 483, 814, 108 on a calculator?

You can find the GCD of 416, 483, 814, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.