GCD of 144, 234, 837, 486 Calculator

Given Input numbers are 144, 234, 837, 486

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 144, 234, 837, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 234, 837, 486 is 9.

Therefore, GCD of numbers 144, 234, 837, 486 is 9

Given Input Data is 144, 234, 837, 486

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(144, 234) = 1872

GCD(144, 234) = ( 144 x 234 ) / 1872

GCD(144, 234) = 33696 / 1872

GCD(144, 234) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 837

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

LCM(18, 837) = 1674

GCD(18, 837) = ( 18 x 837 ) / 1674

GCD(18, 837) = 15066 / 1674

GCD(18, 837) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 486

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

LCM(9, 486) = 486

GCD(9, 486) = ( 9 x 486 ) / 486

GCD(9, 486) = 4374 / 486

GCD(9, 486) = 9

GCD of 144, 234, 837, 486 is 9

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1. What is the GCD of 144, 234, 837, 486?

GCD of 144, 234, 837, 486 is 9

2. Where do I get the detailed procedure to find GCD of 144, 234, 837, 486?

You can find a detailed procedure to find GCD of 144, 234, 837, 486 on our page.

3. How to find GCD of 144, 234, 837, 486 on a calculator?

You can find the GCD of 144, 234, 837, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.