GCD of 114, 871, 400 Calculator

Given Input numbers are 114, 871, 400

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 871

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

1, 13, 67, 871

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 114, 871, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 871, 400 is 1.

Therefore, GCD of numbers 114, 871, 400 is 1

Given Input Data is 114, 871, 400

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 871 is 13 x 67

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(114, 871) = 99294

GCD(114, 871) = ( 114 x 871 ) / 99294

GCD(114, 871) = 99294 / 99294

GCD(114, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 114, 871, 400 is 1

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1. What is the GCD of 114, 871, 400?

GCD of 114, 871, 400 is 1

2. Where do I get the detailed procedure to find GCD of 114, 871, 400?

You can find a detailed procedure to find GCD of 114, 871, 400 on our page.

3. How to find GCD of 114, 871, 400 on a calculator?

You can find the GCD of 114, 871, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.