GCD of 729, 153, 657 Calculator

Given Input numbers are 729, 153, 657

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 729, 153, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 153, 657 is 9.

Therefore, GCD of numbers 729, 153, 657 is 9

Given Input Data is 729, 153, 657

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 153 is 3 x 3 x 17

Prime Factorization of 657 is 3 x 3 x 73

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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, 153) = 12393

GCD(729, 153) = ( 729 x 153 ) / 12393

GCD(729, 153) = 111537 / 12393

GCD(729, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 657

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

LCM(9, 657) = 657

GCD(9, 657) = ( 9 x 657 ) / 657

GCD(9, 657) = 5913 / 657

GCD(9, 657) = 9

GCD of 729, 153, 657 is 9

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1. What is the GCD of 729, 153, 657?

GCD of 729, 153, 657 is 9

2. Where do I get the detailed procedure to find GCD of 729, 153, 657?

You can find a detailed procedure to find GCD of 729, 153, 657 on our page.

3. How to find GCD of 729, 153, 657 on a calculator?

You can find the GCD of 729, 153, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.