GCD of 438, 276, 110 Calculator

Given Input numbers are 438, 276, 110

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 438, 276, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 276, 110 is 2.

Therefore, GCD of numbers 438, 276, 110 is 2

Given Input Data is 438, 276, 110

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 110 is 2 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(438, 276) = 20148

GCD(438, 276) = ( 438 x 276 ) / 20148

GCD(438, 276) = 120888 / 20148

GCD(438, 276) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 110

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

LCM(6, 110) = 330

GCD(6, 110) = ( 6 x 110 ) / 330

GCD(6, 110) = 660 / 330

GCD(6, 110) = 2

GCD of 438, 276, 110 is 2

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1. What is the GCD of 438, 276, 110?

GCD of 438, 276, 110 is 2

2. Where do I get the detailed procedure to find GCD of 438, 276, 110?

You can find a detailed procedure to find GCD of 438, 276, 110 on our page.

3. How to find GCD of 438, 276, 110 on a calculator?

You can find the GCD of 438, 276, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.