GCD of 264, 782, 28, 586 Calculator

Given Input numbers are 264, 782, 28, 586

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 264, 782, 28, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 782, 28, 586 is 2.

Therefore, GCD of numbers 264, 782, 28, 586 is 2

Given Input Data is 264, 782, 28, 586

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 586 is 2 x 293

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(264, 782) = 103224

GCD(264, 782) = ( 264 x 782 ) / 103224

GCD(264, 782) = 206448 / 103224

GCD(264, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 586

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

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

GCD(2, 586) = 1172 / 586

GCD(2, 586) = 2

GCD of 264, 782, 28, 586 is 2

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• GCD of 535, 438, 40, 743
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1. What is the GCD of 264, 782, 28, 586?

GCD of 264, 782, 28, 586 is 2

2. Where do I get the detailed procedure to find GCD of 264, 782, 28, 586?

You can find a detailed procedure to find GCD of 264, 782, 28, 586 on our page.

3. How to find GCD of 264, 782, 28, 586 on a calculator?

You can find the GCD of 264, 782, 28, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.