GCD of 286, 960, 316 Calculator

Given Input numbers are 286, 960, 316

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 286, 960, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 960, 316 is 2.

Therefore, GCD of numbers 286, 960, 316 is 2

Given Input Data is 286, 960, 316

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 316 is 2 x 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 960) = 137280

GCD(286, 960) = ( 286 x 960 ) / 137280

GCD(286, 960) = 274560 / 137280

GCD(286, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 286, 960, 316 is 2

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1. What is the GCD of 286, 960, 316?

GCD of 286, 960, 316 is 2

2. Where do I get the detailed procedure to find GCD of 286, 960, 316?

You can find a detailed procedure to find GCD of 286, 960, 316 on our page.

3. How to find GCD of 286, 960, 316 on a calculator?

You can find the GCD of 286, 960, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.