GCD of 135, 444, 411 Calculator

Given Input numbers are 135, 444, 411

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 135, 444, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 444, 411 is 3.

Therefore, GCD of numbers 135, 444, 411 is 3

Given Input Data is 135, 444, 411

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 411 is 3 x 137

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(135, 444) = 19980

GCD(135, 444) = ( 135 x 444 ) / 19980

GCD(135, 444) = 59940 / 19980

GCD(135, 444) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 411

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

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

GCD(3, 411) = 1233 / 411

GCD(3, 411) = 3

GCD of 135, 444, 411 is 3

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1. What is the GCD of 135, 444, 411?

GCD of 135, 444, 411 is 3

2. Where do I get the detailed procedure to find GCD of 135, 444, 411?

You can find a detailed procedure to find GCD of 135, 444, 411 on our page.

3. How to find GCD of 135, 444, 411 on a calculator?

You can find the GCD of 135, 444, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.