GCD of 840, 442, 682, 873 Calculator

Given Input numbers are 840, 442, 682, 873

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 873

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

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 840, 442, 682, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 442, 682, 873 is 1.

Therefore, GCD of numbers 840, 442, 682, 873 is 1

Given Input Data is 840, 442, 682, 873

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 873 is 3 x 3 x 97

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(840, 442) = 185640

GCD(840, 442) = ( 840 x 442 ) / 185640

GCD(840, 442) = 371280 / 185640

GCD(840, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

GCD of 840, 442, 682, 873 is 1

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1. What is the GCD of 840, 442, 682, 873?

GCD of 840, 442, 682, 873 is 1

2. Where do I get the detailed procedure to find GCD of 840, 442, 682, 873?

You can find a detailed procedure to find GCD of 840, 442, 682, 873 on our page.

3. How to find GCD of 840, 442, 682, 873 on a calculator?

You can find the GCD of 840, 442, 682, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.