GCD of 810, 192, 741, 612 Calculator

Given Input numbers are 810, 192, 741, 612

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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

Greatest Common Divisior

We found the divisors of 810, 192, 741, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 192, 741, 612 is 3.

Therefore, GCD of numbers 810, 192, 741, 612 is 3

Given Input Data is 810, 192, 741, 612

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 612 is 2 x 2 x 3 x 3 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(810, 192) = 25920

GCD(810, 192) = ( 810 x 192 ) / 25920

GCD(810, 192) = 155520 / 25920

GCD(810, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 741

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

LCM(6, 741) = 1482

GCD(6, 741) = ( 6 x 741 ) / 1482

GCD(6, 741) = 4446 / 1482

GCD(6, 741) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 612

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

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

GCD(3, 612) = 1836 / 612

GCD(3, 612) = 3

GCD of 810, 192, 741, 612 is 3

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1. What is the GCD of 810, 192, 741, 612?

GCD of 810, 192, 741, 612 is 3

2. Where do I get the detailed procedure to find GCD of 810, 192, 741, 612?

You can find a detailed procedure to find GCD of 810, 192, 741, 612 on our page.

3. How to find GCD of 810, 192, 741, 612 on a calculator?

You can find the GCD of 810, 192, 741, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.