GCD of 340, 440, 478 Calculator

Given Input numbers are 340, 440, 478

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 340, 440, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 440, 478 is 2.

Therefore, GCD of numbers 340, 440, 478 is 2

Given Input Data is 340, 440, 478

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

Prime Factorization of 478 is 2 x 239

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(340, 440) = 7480

GCD(340, 440) = ( 340 x 440 ) / 7480

GCD(340, 440) = 149600 / 7480

GCD(340, 440) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 478

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

LCM(20, 478) = 4780

GCD(20, 478) = ( 20 x 478 ) / 4780

GCD(20, 478) = 9560 / 4780

GCD(20, 478) = 2

GCD of 340, 440, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 833, 969
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• GCD of 321, 554, 374
• GCD of 441, 683, 524
• GCD of 225, 731, 147

1. What is the GCD of 340, 440, 478?

GCD of 340, 440, 478 is 2

2. Where do I get the detailed procedure to find GCD of 340, 440, 478?

You can find a detailed procedure to find GCD of 340, 440, 478 on our page.

3. How to find GCD of 340, 440, 478 on a calculator?

You can find the GCD of 340, 440, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.