GCD of 873, 864, 106, 820 Calculator

Given Input numbers are 873, 864, 106, 820

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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

Greatest Common Divisior

We found the divisors of 873, 864, 106, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 864, 106, 820 is 1.

Therefore, GCD of numbers 873, 864, 106, 820 is 1

Given Input Data is 873, 864, 106, 820

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 106 is 2 x 53

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

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(873, 864) = 83808

GCD(873, 864) = ( 873 x 864 ) / 83808

GCD(873, 864) = 754272 / 83808

GCD(873, 864) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 106

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

LCM(9, 106) = 954

GCD(9, 106) = ( 9 x 106 ) / 954

GCD(9, 106) = 954 / 954

GCD(9, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 873, 864, 106, 820 is 1

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1. What is the GCD of 873, 864, 106, 820?

GCD of 873, 864, 106, 820 is 1

2. Where do I get the detailed procedure to find GCD of 873, 864, 106, 820?

You can find a detailed procedure to find GCD of 873, 864, 106, 820 on our page.

3. How to find GCD of 873, 864, 106, 820 on a calculator?

You can find the GCD of 873, 864, 106, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.