GCD of 928, 694, 304 Calculator

Given Input numbers are 928, 694, 304

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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

Greatest Common Divisior

We found the divisors of 928, 694, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 694, 304 is 2.

Therefore, GCD of numbers 928, 694, 304 is 2

Given Input Data is 928, 694, 304

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 694 is 2 x 347

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

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(928, 694) = 322016

GCD(928, 694) = ( 928 x 694 ) / 322016

GCD(928, 694) = 644032 / 322016

GCD(928, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 928, 694, 304 is 2

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1. What is the GCD of 928, 694, 304?

GCD of 928, 694, 304 is 2

2. Where do I get the detailed procedure to find GCD of 928, 694, 304?

You can find a detailed procedure to find GCD of 928, 694, 304 on our page.

3. How to find GCD of 928, 694, 304 on a calculator?

You can find the GCD of 928, 694, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.