GCD of 870, 814, 38, 423 Calculator

Given Input numbers are 870, 814, 38, 423

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 870, 814, 38, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 814, 38, 423 is 1.

Therefore, GCD of numbers 870, 814, 38, 423 is 1

Given Input Data is 870, 814, 38, 423

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 38 is 2 x 19

Prime Factorization of 423 is 3 x 3 x 47

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(870, 814) = 354090

GCD(870, 814) = ( 870 x 814 ) / 354090

GCD(870, 814) = 708180 / 354090

GCD(870, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 870, 814, 38, 423 is 1

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1. What is the GCD of 870, 814, 38, 423?

GCD of 870, 814, 38, 423 is 1

2. Where do I get the detailed procedure to find GCD of 870, 814, 38, 423?

You can find a detailed procedure to find GCD of 870, 814, 38, 423 on our page.

3. How to find GCD of 870, 814, 38, 423 on a calculator?

You can find the GCD of 870, 814, 38, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.