GCD of 838, 876, 871, 908 Calculator

Given Input numbers are 838, 876, 871, 908

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 871

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

1, 13, 67, 871

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 838, 876, 871, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 876, 871, 908 is 1.

Therefore, GCD of numbers 838, 876, 871, 908 is 1

Given Input Data is 838, 876, 871, 908

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 871 is 13 x 67

Prime Factorization of 908 is 2 x 2 x 227

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(838, 876) = 367044

GCD(838, 876) = ( 838 x 876 ) / 367044

GCD(838, 876) = 734088 / 367044

GCD(838, 876) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 838, 876, 871, 908 is 1

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1. What is the GCD of 838, 876, 871, 908?

GCD of 838, 876, 871, 908 is 1

2. Where do I get the detailed procedure to find GCD of 838, 876, 871, 908?

You can find a detailed procedure to find GCD of 838, 876, 871, 908 on our page.

3. How to find GCD of 838, 876, 871, 908 on a calculator?

You can find the GCD of 838, 876, 871, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.