GCD of 312, 264, 86, 364 Calculator

Given Input numbers are 312, 264, 86, 364

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 312, 264, 86, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 264, 86, 364 is 2.

Therefore, GCD of numbers 312, 264, 86, 364 is 2

Given Input Data is 312, 264, 86, 364

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(312, 264) = 3432

GCD(312, 264) = ( 312 x 264 ) / 3432

GCD(312, 264) = 82368 / 3432

GCD(312, 264) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 86

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

LCM(24, 86) = 1032

GCD(24, 86) = ( 24 x 86 ) / 1032

GCD(24, 86) = 2064 / 1032

GCD(24, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 312, 264, 86, 364 is 2

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• GCD of 106, 755, 91, 876
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• GCD of 530, 501, 28, 590

1. What is the GCD of 312, 264, 86, 364?

GCD of 312, 264, 86, 364 is 2

2. Where do I get the detailed procedure to find GCD of 312, 264, 86, 364?

You can find a detailed procedure to find GCD of 312, 264, 86, 364 on our page.

3. How to find GCD of 312, 264, 86, 364 on a calculator?

You can find the GCD of 312, 264, 86, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.