GCD of 304, 186, 974 Calculator

Given Input numbers are 304, 186, 974

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 304, 186, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 186, 974 is 2.

Therefore, GCD of numbers 304, 186, 974 is 2

Given Input Data is 304, 186, 974

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 186 is 2 x 3 x 31

Prime Factorization of 974 is 2 x 487

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, 186) = 28272

GCD(304, 186) = ( 304 x 186 ) / 28272

GCD(304, 186) = 56544 / 28272

GCD(304, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

GCD of 304, 186, 974 is 2

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1. What is the GCD of 304, 186, 974?

GCD of 304, 186, 974 is 2

2. Where do I get the detailed procedure to find GCD of 304, 186, 974?

You can find a detailed procedure to find GCD of 304, 186, 974 on our page.

3. How to find GCD of 304, 186, 974 on a calculator?

You can find the GCD of 304, 186, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.