GCD of 871, 820, 12, 646 Calculator

Given Input numbers are 871, 820, 12, 646

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 871, 820, 12, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 820, 12, 646 is 1.

Therefore, GCD of numbers 871, 820, 12, 646 is 1

Given Input Data is 871, 820, 12, 646

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 646 is 2 x 17 x 19

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, 820) = 714220

GCD(871, 820) = ( 871 x 820 ) / 714220

GCD(871, 820) = 714220 / 714220

GCD(871, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 871, 820, 12, 646 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 739, 38, 484
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• GCD of 139, 300, 36, 692
• GCD of 176, 846, 40, 885
• GCD of 420, 165, 90, 200

1. What is the GCD of 871, 820, 12, 646?

GCD of 871, 820, 12, 646 is 1

2. Where do I get the detailed procedure to find GCD of 871, 820, 12, 646?

You can find a detailed procedure to find GCD of 871, 820, 12, 646 on our page.

3. How to find GCD of 871, 820, 12, 646 on a calculator?

You can find the GCD of 871, 820, 12, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.