GCD of 470, 638, 448, 340 Calculator

Given Input numbers are 470, 638, 448, 340

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

Greatest Common Divisior

We found the divisors of 470, 638, 448, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 638, 448, 340 is 2.

Therefore, GCD of numbers 470, 638, 448, 340 is 2

Given Input Data is 470, 638, 448, 340

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 638 is 2 x 11 x 29

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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

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, 638) = 149930

GCD(470, 638) = ( 470 x 638 ) / 149930

GCD(470, 638) = 299860 / 149930

GCD(470, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 470, 638, 448, 340 is 2

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1. What is the GCD of 470, 638, 448, 340?

GCD of 470, 638, 448, 340 is 2

2. Where do I get the detailed procedure to find GCD of 470, 638, 448, 340?

You can find a detailed procedure to find GCD of 470, 638, 448, 340 on our page.

3. How to find GCD of 470, 638, 448, 340 on a calculator?

You can find the GCD of 470, 638, 448, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.