GCD of 470, 688, 440 Calculator

Given Input numbers are 470, 688, 440

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

Greatest Common Divisior

We found the divisors of 470, 688, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 688, 440 is 2.

Therefore, GCD of numbers 470, 688, 440 is 2

Given Input Data is 470, 688, 440

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

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(470, 688) = 161680

GCD(470, 688) = ( 470 x 688 ) / 161680

GCD(470, 688) = 323360 / 161680

GCD(470, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 470, 688, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 250, 800
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1. What is the GCD of 470, 688, 440?

GCD of 470, 688, 440 is 2

2. Where do I get the detailed procedure to find GCD of 470, 688, 440?

You can find a detailed procedure to find GCD of 470, 688, 440 on our page.

3. How to find GCD of 470, 688, 440 on a calculator?

You can find the GCD of 470, 688, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.