GCD of 286, 436, 276, 452 Calculator

Given Input numbers are 286, 436, 276, 452

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 286, 436, 276, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 436, 276, 452 is 2.

Therefore, GCD of numbers 286, 436, 276, 452 is 2

Given Input Data is 286, 436, 276, 452

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 436 is 2 x 2 x 109

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 452 is 2 x 2 x 113

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, 436) = 62348

GCD(286, 436) = ( 286 x 436 ) / 62348

GCD(286, 436) = 124696 / 62348

GCD(286, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 452

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

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

GCD(2, 452) = 904 / 452

GCD(2, 452) = 2

GCD of 286, 436, 276, 452 is 2

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1. What is the GCD of 286, 436, 276, 452?

GCD of 286, 436, 276, 452 is 2

2. Where do I get the detailed procedure to find GCD of 286, 436, 276, 452?

You can find a detailed procedure to find GCD of 286, 436, 276, 452 on our page.

3. How to find GCD of 286, 436, 276, 452 on a calculator?

You can find the GCD of 286, 436, 276, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.