GCD of 301, 729, 168, 260 Calculator

Given Input numbers are 301, 729, 168, 260

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 301, 729, 168, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 729, 168, 260 is 1.

Therefore, GCD of numbers 301, 729, 168, 260 is 1

Given Input Data is 301, 729, 168, 260

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

Prime Factorization of 301 is 7 x 43

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(301, 729) = 219429

GCD(301, 729) = ( 301 x 729 ) / 219429

GCD(301, 729) = 219429 / 219429

GCD(301, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 301, 729, 168, 260 is 1

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1. What is the GCD of 301, 729, 168, 260?

GCD of 301, 729, 168, 260 is 1

2. Where do I get the detailed procedure to find GCD of 301, 729, 168, 260?

You can find a detailed procedure to find GCD of 301, 729, 168, 260 on our page.

3. How to find GCD of 301, 729, 168, 260 on a calculator?

You can find the GCD of 301, 729, 168, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.