GCD of 304, 498, 78, 966 Calculator

Given Input numbers are 304, 498, 78, 966

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 304, 498, 78, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 498, 78, 966 is 2.

Therefore, GCD of numbers 304, 498, 78, 966 is 2

Given Input Data is 304, 498, 78, 966

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(304, 498) = 75696

GCD(304, 498) = ( 304 x 498 ) / 75696

GCD(304, 498) = 151392 / 75696

GCD(304, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 304, 498, 78, 966 is 2

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• GCD of 236, 283, 48, 245
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1. What is the GCD of 304, 498, 78, 966?

GCD of 304, 498, 78, 966 is 2

2. Where do I get the detailed procedure to find GCD of 304, 498, 78, 966?

You can find a detailed procedure to find GCD of 304, 498, 78, 966 on our page.

3. How to find GCD of 304, 498, 78, 966 on a calculator?

You can find the GCD of 304, 498, 78, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.