GCD of 337, 870, 18, 648 Calculator

Given Input numbers are 337, 870, 18, 648

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

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 18

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

1, 2, 3, 6, 9, 18

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 337, 870, 18, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 870, 18, 648 is 1.

Therefore, GCD of numbers 337, 870, 18, 648 is 1

Given Input Data is 337, 870, 18, 648

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

Prime Factorization of 337 is 337

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(337, 870) = 293190

GCD(337, 870) = ( 337 x 870 ) / 293190

GCD(337, 870) = 293190 / 293190

GCD(337, 870) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 337, 870, 18, 648 is 1

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1. What is the GCD of 337, 870, 18, 648?

GCD of 337, 870, 18, 648 is 1

2. Where do I get the detailed procedure to find GCD of 337, 870, 18, 648?

You can find a detailed procedure to find GCD of 337, 870, 18, 648 on our page.

3. How to find GCD of 337, 870, 18, 648 on a calculator?

You can find the GCD of 337, 870, 18, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.