GCD of 639, 575, 729, 298 Calculator

Given Input numbers are 639, 575, 729, 298

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 639, 575, 729, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 575, 729, 298 is 1.

Therefore, GCD of numbers 639, 575, 729, 298 is 1

Given Input Data is 639, 575, 729, 298

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 298 is 2 x 149

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(639, 575) = 367425

GCD(639, 575) = ( 639 x 575 ) / 367425

GCD(639, 575) = 367425 / 367425

GCD(639, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 639, 575, 729, 298 is 1

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1. What is the GCD of 639, 575, 729, 298?

GCD of 639, 575, 729, 298 is 1

2. Where do I get the detailed procedure to find GCD of 639, 575, 729, 298?

You can find a detailed procedure to find GCD of 639, 575, 729, 298 on our page.

3. How to find GCD of 639, 575, 729, 298 on a calculator?

You can find the GCD of 639, 575, 729, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.