GCD of 470, 732, 638, 460 Calculator

Given Input numbers are 470, 732, 638, 460

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 470, 732, 638, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 732, 638, 460 is 2.

Therefore, GCD of numbers 470, 732, 638, 460 is 2

Given Input Data is 470, 732, 638, 460

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 732) = 172020

GCD(470, 732) = ( 470 x 732 ) / 172020

GCD(470, 732) = 344040 / 172020

GCD(470, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 470, 732, 638, 460 is 2

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1. What is the GCD of 470, 732, 638, 460?

GCD of 470, 732, 638, 460 is 2

2. Where do I get the detailed procedure to find GCD of 470, 732, 638, 460?

You can find a detailed procedure to find GCD of 470, 732, 638, 460 on our page.

3. How to find GCD of 470, 732, 638, 460 on a calculator?

You can find the GCD of 470, 732, 638, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.