GCD of 884, 414, 180, 871 Calculator

Given Input numbers are 884, 414, 180, 871

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 871

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

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 884, 414, 180, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 414, 180, 871 is 1.

Therefore, GCD of numbers 884, 414, 180, 871 is 1

Given Input Data is 884, 414, 180, 871

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 871 is 13 x 67

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(884, 414) = 182988

GCD(884, 414) = ( 884 x 414 ) / 182988

GCD(884, 414) = 365976 / 182988

GCD(884, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

GCD of 884, 414, 180, 871 is 1

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1. What is the GCD of 884, 414, 180, 871?

GCD of 884, 414, 180, 871 is 1

2. Where do I get the detailed procedure to find GCD of 884, 414, 180, 871?

You can find a detailed procedure to find GCD of 884, 414, 180, 871 on our page.

3. How to find GCD of 884, 414, 180, 871 on a calculator?

You can find the GCD of 884, 414, 180, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.