GCD of 286, 470, 86, 159 Calculator

Given Input numbers are 286, 470, 86, 159

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 286, 470, 86, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 470, 86, 159 is 1.

Therefore, GCD of numbers 286, 470, 86, 159 is 1

Given Input Data is 286, 470, 86, 159

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 470 is 2 x 5 x 47

Prime Factorization of 86 is 2 x 43

Prime Factorization of 159 is 3 x 53

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, 470) = 67210

GCD(286, 470) = ( 286 x 470 ) / 67210

GCD(286, 470) = 134420 / 67210

GCD(286, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

GCD of 286, 470, 86, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 430, 59, 598
• GCD of 280, 177, 52, 610
• GCD of 269, 801, 54, 285
• GCD of 637, 158, 76, 301
• GCD of 967, 440, 24, 456

1. What is the GCD of 286, 470, 86, 159?

GCD of 286, 470, 86, 159 is 1

2. Where do I get the detailed procedure to find GCD of 286, 470, 86, 159?

You can find a detailed procedure to find GCD of 286, 470, 86, 159 on our page.

3. How to find GCD of 286, 470, 86, 159 on a calculator?

You can find the GCD of 286, 470, 86, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.