GCD of 648, 810, 42, 939 Calculator

Given Input numbers are 648, 810, 42, 939

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 648, 810, 42, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 810, 42, 939 is 3.

Therefore, GCD of numbers 648, 810, 42, 939 is 3

Given Input Data is 648, 810, 42, 939

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 939 is 3 x 313

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(648, 810) = 3240

GCD(648, 810) = ( 648 x 810 ) / 3240

GCD(648, 810) = 524880 / 3240

GCD(648, 810) = 162

Step2:

Here we consider the GCD from the above i.e. 162 as first number and the next as 42

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

LCM(162, 42) = 1134

GCD(162, 42) = ( 162 x 42 ) / 1134

GCD(162, 42) = 6804 / 1134

GCD(162, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 939

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

LCM(6, 939) = 1878

GCD(6, 939) = ( 6 x 939 ) / 1878

GCD(6, 939) = 5634 / 1878

GCD(6, 939) = 3

GCD of 648, 810, 42, 939 is 3

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1. What is the GCD of 648, 810, 42, 939?

GCD of 648, 810, 42, 939 is 3

2. Where do I get the detailed procedure to find GCD of 648, 810, 42, 939?

You can find a detailed procedure to find GCD of 648, 810, 42, 939 on our page.

3. How to find GCD of 648, 810, 42, 939 on a calculator?

You can find the GCD of 648, 810, 42, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.