GCD of 111, 135, 795 Calculator

Given Input numbers are 111, 135, 795

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 111, 135, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 135, 795 is 3.

Therefore, GCD of numbers 111, 135, 795 is 3

Given Input Data is 111, 135, 795

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

Prime Factorization of 111 is 3 x 37

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

Prime Factorization of 795 is 3 x 5 x 53

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(111, 135) = 4995

GCD(111, 135) = ( 111 x 135 ) / 4995

GCD(111, 135) = 14985 / 4995

GCD(111, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 795

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

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

GCD(3, 795) = 2385 / 795

GCD(3, 795) = 3

GCD of 111, 135, 795 is 3

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1. What is the GCD of 111, 135, 795?

GCD of 111, 135, 795 is 3

2. Where do I get the detailed procedure to find GCD of 111, 135, 795?

You can find a detailed procedure to find GCD of 111, 135, 795 on our page.

3. How to find GCD of 111, 135, 795 on a calculator?

You can find the GCD of 111, 135, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.