GCD of 45, 729, 335, 258 Calculator

Given Input numbers are 45, 729, 335, 258

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 45, 729, 335, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 729, 335, 258 is 1.

Therefore, GCD of numbers 45, 729, 335, 258 is 1

Given Input Data is 45, 729, 335, 258

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

Prime Factorization of 45 is 3 x 3 x 5

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

Prime Factorization of 335 is 5 x 67

Prime Factorization of 258 is 2 x 3 x 43

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(45, 729) = 3645

GCD(45, 729) = ( 45 x 729 ) / 3645

GCD(45, 729) = 32805 / 3645

GCD(45, 729) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 335

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

LCM(9, 335) = 3015

GCD(9, 335) = ( 9 x 335 ) / 3015

GCD(9, 335) = 3015 / 3015

GCD(9, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 45, 729, 335, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 121, 886, 416
• GCD of 22, 136, 658, 691
• GCD of 68, 860, 605, 129
• GCD of 34, 831, 638, 249
• GCD of 35, 414, 575, 366

1. What is the GCD of 45, 729, 335, 258?

GCD of 45, 729, 335, 258 is 1

2. Where do I get the detailed procedure to find GCD of 45, 729, 335, 258?

You can find a detailed procedure to find GCD of 45, 729, 335, 258 on our page.

3. How to find GCD of 45, 729, 335, 258 on a calculator?

You can find the GCD of 45, 729, 335, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.