GCD of 870, 993, 18, 344 Calculator

Given Input numbers are 870, 993, 18, 344

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 870, 993, 18, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 993, 18, 344 is 1.

Therefore, GCD of numbers 870, 993, 18, 344 is 1

Given Input Data is 870, 993, 18, 344

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 993 is 3 x 331

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 993) = 287970

GCD(870, 993) = ( 870 x 993 ) / 287970

GCD(870, 993) = 863910 / 287970

GCD(870, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 344

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

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

GCD(3, 344) = 1032 / 1032

GCD(3, 344) = 1

GCD of 870, 993, 18, 344 is 1

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• GCD of 417, 608, 48, 355
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1. What is the GCD of 870, 993, 18, 344?

GCD of 870, 993, 18, 344 is 1

2. Where do I get the detailed procedure to find GCD of 870, 993, 18, 344?

You can find a detailed procedure to find GCD of 870, 993, 18, 344 on our page.

3. How to find GCD of 870, 993, 18, 344 on a calculator?

You can find the GCD of 870, 993, 18, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.