GCD of 871, 138, 111 Calculator

Given Input numbers are 871, 138, 111

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 871, 138, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 138, 111 is 1.

Therefore, GCD of numbers 871, 138, 111 is 1

Given Input Data is 871, 138, 111

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 111 is 3 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(871, 138) = 120198

GCD(871, 138) = ( 871 x 138 ) / 120198

GCD(871, 138) = 120198 / 120198

GCD(871, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 871, 138, 111 is 1

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1. What is the GCD of 871, 138, 111?

GCD of 871, 138, 111 is 1

2. Where do I get the detailed procedure to find GCD of 871, 138, 111?

You can find a detailed procedure to find GCD of 871, 138, 111 on our page.

3. How to find GCD of 871, 138, 111 on a calculator?

You can find the GCD of 871, 138, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.