GCD of 810, 117, 717, 672 Calculator

Given Input numbers are 810, 117, 717, 672

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 810, 117, 717, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 117, 717, 672 is 3.

Therefore, GCD of numbers 810, 117, 717, 672 is 3

Given Input Data is 810, 117, 717, 672

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 717 is 3 x 239

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(810, 117) = 10530

GCD(810, 117) = ( 810 x 117 ) / 10530

GCD(810, 117) = 94770 / 10530

GCD(810, 117) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 717

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

LCM(9, 717) = 2151

GCD(9, 717) = ( 9 x 717 ) / 2151

GCD(9, 717) = 6453 / 2151

GCD(9, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 672

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

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

GCD(3, 672) = 2016 / 672

GCD(3, 672) = 3

GCD of 810, 117, 717, 672 is 3

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1. What is the GCD of 810, 117, 717, 672?

GCD of 810, 117, 717, 672 is 3

2. Where do I get the detailed procedure to find GCD of 810, 117, 717, 672?

You can find a detailed procedure to find GCD of 810, 117, 717, 672 on our page.

3. How to find GCD of 810, 117, 717, 672 on a calculator?

You can find the GCD of 810, 117, 717, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.