GCD of 841, 871, 199, 408 Calculator

Given Input numbers are 841, 871, 199, 408

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

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 871

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

1, 13, 67, 871

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 841, 871, 199, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 871, 199, 408 is 1.

Therefore, GCD of numbers 841, 871, 199, 408 is 1

Given Input Data is 841, 871, 199, 408

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

Prime Factorization of 841 is 29 x 29

Prime Factorization of 871 is 13 x 67

Prime Factorization of 199 is 199

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(841, 871) = 732511

GCD(841, 871) = ( 841 x 871 ) / 732511

GCD(841, 871) = 732511 / 732511

GCD(841, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 841, 871, 199, 408 is 1

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1. What is the GCD of 841, 871, 199, 408?

GCD of 841, 871, 199, 408 is 1

2. Where do I get the detailed procedure to find GCD of 841, 871, 199, 408?

You can find a detailed procedure to find GCD of 841, 871, 199, 408 on our page.

3. How to find GCD of 841, 871, 199, 408 on a calculator?

You can find the GCD of 841, 871, 199, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.