GCD of 912, 492, 786 Calculator

Given Input numbers are 912, 492, 786

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

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 912, 492, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 492, 786 is 6.

Therefore, GCD of numbers 912, 492, 786 is 6

Given Input Data is 912, 492, 786

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 786 is 2 x 3 x 131

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(912, 492) = 37392

GCD(912, 492) = ( 912 x 492 ) / 37392

GCD(912, 492) = 448704 / 37392

GCD(912, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 786

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

LCM(12, 786) = 1572

GCD(12, 786) = ( 12 x 786 ) / 1572

GCD(12, 786) = 9432 / 1572

GCD(12, 786) = 6

GCD of 912, 492, 786 is 6

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1. What is the GCD of 912, 492, 786?

GCD of 912, 492, 786 is 6

2. Where do I get the detailed procedure to find GCD of 912, 492, 786?

You can find a detailed procedure to find GCD of 912, 492, 786 on our page.

3. How to find GCD of 912, 492, 786 on a calculator?

You can find the GCD of 912, 492, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.