GCD of 286, 912, 65, 412 Calculator

Given Input numbers are 286, 912, 65, 412

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 286, 912, 65, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 912, 65, 412 is 1.

Therefore, GCD of numbers 286, 912, 65, 412 is 1

Given Input Data is 286, 912, 65, 412

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 412 is 2 x 2 x 103

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, 912) = 130416

GCD(286, 912) = ( 286 x 912 ) / 130416

GCD(286, 912) = 260832 / 130416

GCD(286, 912) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 286, 912, 65, 412 is 1

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1. What is the GCD of 286, 912, 65, 412?

GCD of 286, 912, 65, 412 is 1

2. Where do I get the detailed procedure to find GCD of 286, 912, 65, 412?

You can find a detailed procedure to find GCD of 286, 912, 65, 412 on our page.

3. How to find GCD of 286, 912, 65, 412 on a calculator?

You can find the GCD of 286, 912, 65, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.