GCD of 286, 414, 71 Calculator

Given Input numbers are 286, 414, 71

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 286, 414, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 414, 71 is 1.

Therefore, GCD of numbers 286, 414, 71 is 1

Given Input Data is 286, 414, 71

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 71 is 71

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, 414) = 59202

GCD(286, 414) = ( 286 x 414 ) / 59202

GCD(286, 414) = 118404 / 59202

GCD(286, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

GCD of 286, 414, 71 is 1

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1. What is the GCD of 286, 414, 71?

GCD of 286, 414, 71 is 1

2. Where do I get the detailed procedure to find GCD of 286, 414, 71?

You can find a detailed procedure to find GCD of 286, 414, 71 on our page.

3. How to find GCD of 286, 414, 71 on a calculator?

You can find the GCD of 286, 414, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.