GCD of 676, 426, 871 Calculator

Given Input numbers are 676, 426, 871

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 676, 426, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 426, 871 is 1.

Therefore, GCD of numbers 676, 426, 871 is 1

Given Input Data is 676, 426, 871

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 426 is 2 x 3 x 71

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(676, 426) = 143988

GCD(676, 426) = ( 676 x 426 ) / 143988

GCD(676, 426) = 287976 / 143988

GCD(676, 426) = 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

GCD of 676, 426, 871 is 1

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1. What is the GCD of 676, 426, 871?

GCD of 676, 426, 871 is 1

2. Where do I get the detailed procedure to find GCD of 676, 426, 871?

You can find a detailed procedure to find GCD of 676, 426, 871 on our page.

3. How to find GCD of 676, 426, 871 on a calculator?

You can find the GCD of 676, 426, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.