GCD of 871, 800, 238, 377 Calculator

Given Input numbers are 871, 800, 238, 377

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 871, 800, 238, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 800, 238, 377 is 1.

Therefore, GCD of numbers 871, 800, 238, 377 is 1

Given Input Data is 871, 800, 238, 377

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 377 is 13 x 29

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, 800) = 696800

GCD(871, 800) = ( 871 x 800 ) / 696800

GCD(871, 800) = 696800 / 696800

GCD(871, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 871, 800, 238, 377 is 1

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1. What is the GCD of 871, 800, 238, 377?

GCD of 871, 800, 238, 377 is 1

2. Where do I get the detailed procedure to find GCD of 871, 800, 238, 377?

You can find a detailed procedure to find GCD of 871, 800, 238, 377 on our page.

3. How to find GCD of 871, 800, 238, 377 on a calculator?

You can find the GCD of 871, 800, 238, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.