GCD of 694, 440, 96 Calculator

Given Input numbers are 694, 440, 96

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

Divisors of 694

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

1, 2, 347, 694

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 694, 440, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 440, 96 is 2.

Therefore, GCD of numbers 694, 440, 96 is 2

Given Input Data is 694, 440, 96

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(694, 440) = 152680

GCD(694, 440) = ( 694 x 440 ) / 152680

GCD(694, 440) = 305360 / 152680

GCD(694, 440) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 694, 440, 96 is 2

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1. What is the GCD of 694, 440, 96?

GCD of 694, 440, 96 is 2

2. Where do I get the detailed procedure to find GCD of 694, 440, 96?

You can find a detailed procedure to find GCD of 694, 440, 96 on our page.

3. How to find GCD of 694, 440, 96 on a calculator?

You can find the GCD of 694, 440, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.