GCD of 852, 471, 72, 729 Calculator

Given Input numbers are 852, 471, 72, 729

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 852, 471, 72, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 471, 72, 729 is 3.

Therefore, GCD of numbers 852, 471, 72, 729 is 3

Given Input Data is 852, 471, 72, 729

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 471 is 3 x 157

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(852, 471) = 133764

GCD(852, 471) = ( 852 x 471 ) / 133764

GCD(852, 471) = 401292 / 133764

GCD(852, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 729

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

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

GCD(3, 729) = 2187 / 729

GCD(3, 729) = 3

GCD of 852, 471, 72, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 503, 71, 599
• GCD of 200, 173, 29, 678
• GCD of 155, 932, 52, 191
• GCD of 752, 634, 59, 409
• GCD of 522, 296, 70, 444

1. What is the GCD of 852, 471, 72, 729?

GCD of 852, 471, 72, 729 is 3

2. Where do I get the detailed procedure to find GCD of 852, 471, 72, 729?

You can find a detailed procedure to find GCD of 852, 471, 72, 729 on our page.

3. How to find GCD of 852, 471, 72, 729 on a calculator?

You can find the GCD of 852, 471, 72, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.