GCD of 65, 435, 458, 729 Calculator

Given Input numbers are 65, 435, 458, 729

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 729

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

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

Greatest Common Divisior

We found the divisors of 65, 435, 458, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 435, 458, 729 is 1.

Therefore, GCD of numbers 65, 435, 458, 729 is 1

Given Input Data is 65, 435, 458, 729

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 458 is 2 x 229

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

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(65, 435) = 5655

GCD(65, 435) = ( 65 x 435 ) / 5655

GCD(65, 435) = 28275 / 5655

GCD(65, 435) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 458

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

LCM(5, 458) = 2290

GCD(5, 458) = ( 5 x 458 ) / 2290

GCD(5, 458) = 2290 / 2290

GCD(5, 458) = 1

Step3:

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

GCD of 65, 435, 458, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 528, 769, 907
• GCD of 75, 306, 722, 557
• GCD of 34, 943, 523, 229
• GCD of 27, 896, 559, 641
• GCD of 85, 128, 164, 226

1. What is the GCD of 65, 435, 458, 729?

GCD of 65, 435, 458, 729 is 1

2. Where do I get the detailed procedure to find GCD of 65, 435, 458, 729?

You can find a detailed procedure to find GCD of 65, 435, 458, 729 on our page.

3. How to find GCD of 65, 435, 458, 729 on a calculator?

You can find the GCD of 65, 435, 458, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.