GCD of 117, 462, 27, 282 Calculator

Given Input numbers are 117, 462, 27, 282

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

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 117, 462, 27, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 462, 27, 282 is 3.

Therefore, GCD of numbers 117, 462, 27, 282 is 3

Given Input Data is 117, 462, 27, 282

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 282 is 2 x 3 x 47

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(117, 462) = 18018

GCD(117, 462) = ( 117 x 462 ) / 18018

GCD(117, 462) = 54054 / 18018

GCD(117, 462) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

GCD of 117, 462, 27, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 710, 77, 147
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• GCD of 592, 270, 25, 248
• GCD of 732, 870, 56, 363
• GCD of 126, 220, 91, 393

1. What is the GCD of 117, 462, 27, 282?

GCD of 117, 462, 27, 282 is 3

2. Where do I get the detailed procedure to find GCD of 117, 462, 27, 282?

You can find a detailed procedure to find GCD of 117, 462, 27, 282 on our page.

3. How to find GCD of 117, 462, 27, 282 on a calculator?

You can find the GCD of 117, 462, 27, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.