GCD of 852, 861, 111 Calculator

Given Input numbers are 852, 861, 111

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 111

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

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 852, 861, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 861, 111 is 3.

Therefore, GCD of numbers 852, 861, 111 is 3

Given Input Data is 852, 861, 111

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 111 is 3 x 37

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(852, 861) = 244524

GCD(852, 861) = ( 852 x 861 ) / 244524

GCD(852, 861) = 733572 / 244524

GCD(852, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 111

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

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

GCD(3, 111) = 333 / 111

GCD(3, 111) = 3

GCD of 852, 861, 111 is 3

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1. What is the GCD of 852, 861, 111?

GCD of 852, 861, 111 is 3

2. Where do I get the detailed procedure to find GCD of 852, 861, 111?

You can find a detailed procedure to find GCD of 852, 861, 111 on our page.

3. How to find GCD of 852, 861, 111 on a calculator?

You can find the GCD of 852, 861, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.