GCD of 306, 492, 81, 766 Calculator

Given Input numbers are 306, 492, 81, 766

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 306, 492, 81, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 492, 81, 766 is 1.

Therefore, GCD of numbers 306, 492, 81, 766 is 1

Given Input Data is 306, 492, 81, 766

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 766 is 2 x 383

The above numbers do not have any common prime factor. So GCD is 1

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(306, 492) = 25092

GCD(306, 492) = ( 306 x 492 ) / 25092

GCD(306, 492) = 150552 / 25092

GCD(306, 492) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 766

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

LCM(3, 766) = 2298

GCD(3, 766) = ( 3 x 766 ) / 2298

GCD(3, 766) = 2298 / 2298

GCD(3, 766) = 1

GCD of 306, 492, 81, 766 is 1

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1. What is the GCD of 306, 492, 81, 766?

GCD of 306, 492, 81, 766 is 1

2. Where do I get the detailed procedure to find GCD of 306, 492, 81, 766?

You can find a detailed procedure to find GCD of 306, 492, 81, 766 on our page.

3. How to find GCD of 306, 492, 81, 766 on a calculator?

You can find the GCD of 306, 492, 81, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.