GCD of 472, 734, 28, 665 Calculator

Given Input numbers are 472, 734, 28, 665

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 472, 734, 28, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 734, 28, 665 is 1.

Therefore, GCD of numbers 472, 734, 28, 665 is 1

Given Input Data is 472, 734, 28, 665

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 734 is 2 x 367

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 665 is 5 x 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(472, 734) = 173224

GCD(472, 734) = ( 472 x 734 ) / 173224

GCD(472, 734) = 346448 / 173224

GCD(472, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

GCD of 472, 734, 28, 665 is 1

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1. What is the GCD of 472, 734, 28, 665?

GCD of 472, 734, 28, 665 is 1

2. Where do I get the detailed procedure to find GCD of 472, 734, 28, 665?

You can find a detailed procedure to find GCD of 472, 734, 28, 665 on our page.

3. How to find GCD of 472, 734, 28, 665 on a calculator?

You can find the GCD of 472, 734, 28, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.