GCD of 728, 140, 64, 665 Calculator

Given Input numbers are 728, 140, 64, 665

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 728, 140, 64, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 140, 64, 665 is 1.

Therefore, GCD of numbers 728, 140, 64, 665 is 1

Given Input Data is 728, 140, 64, 665

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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(728, 140) = 3640

GCD(728, 140) = ( 728 x 140 ) / 3640

GCD(728, 140) = 101920 / 3640

GCD(728, 140) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 64

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

LCM(28, 64) = 448

GCD(28, 64) = ( 28 x 64 ) / 448

GCD(28, 64) = 1792 / 448

GCD(28, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 665

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

LCM(4, 665) = 2660

GCD(4, 665) = ( 4 x 665 ) / 2660

GCD(4, 665) = 2660 / 2660

GCD(4, 665) = 1

GCD of 728, 140, 64, 665 is 1

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1. What is the GCD of 728, 140, 64, 665?

GCD of 728, 140, 64, 665 is 1

2. Where do I get the detailed procedure to find GCD of 728, 140, 64, 665?

You can find a detailed procedure to find GCD of 728, 140, 64, 665 on our page.

3. How to find GCD of 728, 140, 64, 665 on a calculator?

You can find the GCD of 728, 140, 64, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.