GCD of 762, 411, 729 Calculator

Given Input numbers are 762, 411, 729

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

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 762, 411, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 411, 729 is 3.

Therefore, GCD of numbers 762, 411, 729 is 3

Given Input Data is 762, 411, 729

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 411 is 3 x 137

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(762, 411) = 104394

GCD(762, 411) = ( 762 x 411 ) / 104394

GCD(762, 411) = 313182 / 104394

GCD(762, 411) = 3

Step2:

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 762, 411, 729 is 3

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1. What is the GCD of 762, 411, 729?

GCD of 762, 411, 729 is 3

2. Where do I get the detailed procedure to find GCD of 762, 411, 729?

You can find a detailed procedure to find GCD of 762, 411, 729 on our page.

3. How to find GCD of 762, 411, 729 on a calculator?

You can find the GCD of 762, 411, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.