GCD of 463, 108, 14, 161 Calculator

Given Input numbers are 463, 108, 14, 161

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 463, 108, 14, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 108, 14, 161 is 1.

Therefore, GCD of numbers 463, 108, 14, 161 is 1

Given Input Data is 463, 108, 14, 161

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

Prime Factorization of 463 is 463

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 161 is 7 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(463, 108) = 50004

GCD(463, 108) = ( 463 x 108 ) / 50004

GCD(463, 108) = 50004 / 50004

GCD(463, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 463, 108, 14, 161 is 1

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1. What is the GCD of 463, 108, 14, 161?

GCD of 463, 108, 14, 161 is 1

2. Where do I get the detailed procedure to find GCD of 463, 108, 14, 161?

You can find a detailed procedure to find GCD of 463, 108, 14, 161 on our page.

3. How to find GCD of 463, 108, 14, 161 on a calculator?

You can find the GCD of 463, 108, 14, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.