GCD of 228, 120, 738 Calculator

Given Input numbers are 228, 120, 738

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 228, 120, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 120, 738 is 6.

Therefore, GCD of numbers 228, 120, 738 is 6

Given Input Data is 228, 120, 738

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(228, 120) = 2280

GCD(228, 120) = ( 228 x 120 ) / 2280

GCD(228, 120) = 27360 / 2280

GCD(228, 120) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 738

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

LCM(12, 738) = 1476

GCD(12, 738) = ( 12 x 738 ) / 1476

GCD(12, 738) = 8856 / 1476

GCD(12, 738) = 6

GCD of 228, 120, 738 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 294, 103
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• GCD of 232, 295, 145

1. What is the GCD of 228, 120, 738?

GCD of 228, 120, 738 is 6

2. Where do I get the detailed procedure to find GCD of 228, 120, 738?

You can find a detailed procedure to find GCD of 228, 120, 738 on our page.

3. How to find GCD of 228, 120, 738 on a calculator?

You can find the GCD of 228, 120, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.