GCD of 237, 108, 27, 498 Calculator

Given Input numbers are 237, 108, 27, 498

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 27

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

1, 3, 9, 27

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 237, 108, 27, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 108, 27, 498 is 3.

Therefore, GCD of numbers 237, 108, 27, 498 is 3

Given Input Data is 237, 108, 27, 498

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 498 is 2 x 3 x 83

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(237, 108) = 8532

GCD(237, 108) = ( 237 x 108 ) / 8532

GCD(237, 108) = 25596 / 8532

GCD(237, 108) = 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 498

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

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

GCD(3, 498) = 1494 / 498

GCD(3, 498) = 3

GCD of 237, 108, 27, 498 is 3

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• GCD of 132, 672, 35, 486
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1. What is the GCD of 237, 108, 27, 498?

GCD of 237, 108, 27, 498 is 3

2. Where do I get the detailed procedure to find GCD of 237, 108, 27, 498?

You can find a detailed procedure to find GCD of 237, 108, 27, 498 on our page.

3. How to find GCD of 237, 108, 27, 498 on a calculator?

You can find the GCD of 237, 108, 27, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.