GCD of 111, 387, 285 Calculator

Given Input numbers are 111, 387, 285

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 111, 387, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 387, 285 is 3.

Therefore, GCD of numbers 111, 387, 285 is 3

Given Input Data is 111, 387, 285

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 285 is 3 x 5 x 19

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, 387) = 14319

GCD(111, 387) = ( 111 x 387 ) / 14319

GCD(111, 387) = 42957 / 14319

GCD(111, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

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

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

GCD of 111, 387, 285 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 437, 256
• GCD of 328, 931, 992
• GCD of 127, 414, 350
• GCD of 931, 984, 963
• GCD of 180, 231, 421

1. What is the GCD of 111, 387, 285?

GCD of 111, 387, 285 is 3

2. Where do I get the detailed procedure to find GCD of 111, 387, 285?

You can find a detailed procedure to find GCD of 111, 387, 285 on our page.

3. How to find GCD of 111, 387, 285 on a calculator?

You can find the GCD of 111, 387, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.