GCD of 330, 464, 110 Calculator

Given Input numbers are 330, 464, 110

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 330, 464, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 464, 110 is 2.

Therefore, GCD of numbers 330, 464, 110 is 2

Given Input Data is 330, 464, 110

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(330, 464) = 76560

GCD(330, 464) = ( 330 x 464 ) / 76560

GCD(330, 464) = 153120 / 76560

GCD(330, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 330, 464, 110 is 2

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1. What is the GCD of 330, 464, 110?

GCD of 330, 464, 110 is 2

2. Where do I get the detailed procedure to find GCD of 330, 464, 110?

You can find a detailed procedure to find GCD of 330, 464, 110 on our page.

3. How to find GCD of 330, 464, 110 on a calculator?

You can find the GCD of 330, 464, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.