GCD of 612, 447, 765 Calculator

Given Input numbers are 612, 447, 765

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 612, 447, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 447, 765 is 3.

Therefore, GCD of numbers 612, 447, 765 is 3

Given Input Data is 612, 447, 765

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 447 is 3 x 149

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(612, 447) = 91188

GCD(612, 447) = ( 612 x 447 ) / 91188

GCD(612, 447) = 273564 / 91188

GCD(612, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 765

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

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

GCD(3, 765) = 2295 / 765

GCD(3, 765) = 3

GCD of 612, 447, 765 is 3

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1. What is the GCD of 612, 447, 765?

GCD of 612, 447, 765 is 3

2. Where do I get the detailed procedure to find GCD of 612, 447, 765?

You can find a detailed procedure to find GCD of 612, 447, 765 on our page.

3. How to find GCD of 612, 447, 765 on a calculator?

You can find the GCD of 612, 447, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.