GCD of 729, 464, 203, 150 Calculator

Given Input numbers are 729, 464, 203, 150

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

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 729, 464, 203, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 464, 203, 150 is 1.

Therefore, GCD of numbers 729, 464, 203, 150 is 1

Given Input Data is 729, 464, 203, 150

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

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 203 is 7 x 29

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(729, 464) = 338256

GCD(729, 464) = ( 729 x 464 ) / 338256

GCD(729, 464) = 338256 / 338256

GCD(729, 464) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 729, 464, 203, 150 is 1

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1. What is the GCD of 729, 464, 203, 150?

GCD of 729, 464, 203, 150 is 1

2. Where do I get the detailed procedure to find GCD of 729, 464, 203, 150?

You can find a detailed procedure to find GCD of 729, 464, 203, 150 on our page.

3. How to find GCD of 729, 464, 203, 150 on a calculator?

You can find the GCD of 729, 464, 203, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.