GCD of 892, 820, 173, 856 Calculator

Given Input numbers are 892, 820, 173, 856

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 892, 820, 173, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 820, 173, 856 is 1.

Therefore, GCD of numbers 892, 820, 173, 856 is 1

Given Input Data is 892, 820, 173, 856

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

Prime Factorization of 892 is 2 x 2 x 223

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

Prime Factorization of 173 is 173

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(892, 820) = 182860

GCD(892, 820) = ( 892 x 820 ) / 182860

GCD(892, 820) = 731440 / 182860

GCD(892, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 173

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

LCM(4, 173) = 692

GCD(4, 173) = ( 4 x 173 ) / 692

GCD(4, 173) = 692 / 692

GCD(4, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 892, 820, 173, 856 is 1

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1. What is the GCD of 892, 820, 173, 856?

GCD of 892, 820, 173, 856 is 1

2. Where do I get the detailed procedure to find GCD of 892, 820, 173, 856?

You can find a detailed procedure to find GCD of 892, 820, 173, 856 on our page.

3. How to find GCD of 892, 820, 173, 856 on a calculator?

You can find the GCD of 892, 820, 173, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.