GCD of 286, 112, 181, 464 Calculator

Given Input numbers are 286, 112, 181, 464

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 286, 112, 181, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 112, 181, 464 is 1.

Therefore, GCD of numbers 286, 112, 181, 464 is 1

Given Input Data is 286, 112, 181, 464

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 181 is 181

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(286, 112) = 16016

GCD(286, 112) = ( 286 x 112 ) / 16016

GCD(286, 112) = 32032 / 16016

GCD(286, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 181

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

LCM(2, 181) = 362

GCD(2, 181) = ( 2 x 181 ) / 362

GCD(2, 181) = 362 / 362

GCD(2, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 286, 112, 181, 464 is 1

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1. What is the GCD of 286, 112, 181, 464?

GCD of 286, 112, 181, 464 is 1

2. Where do I get the detailed procedure to find GCD of 286, 112, 181, 464?

You can find a detailed procedure to find GCD of 286, 112, 181, 464 on our page.

3. How to find GCD of 286, 112, 181, 464 on a calculator?

You can find the GCD of 286, 112, 181, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.