GCD of 704, 468, 18, 726 Calculator

Given Input numbers are 704, 468, 18, 726

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 704, 468, 18, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 468, 18, 726 is 2.

Therefore, GCD of numbers 704, 468, 18, 726 is 2

Given Input Data is 704, 468, 18, 726

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 726 is 2 x 3 x 11 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(704, 468) = 82368

GCD(704, 468) = ( 704 x 468 ) / 82368

GCD(704, 468) = 329472 / 82368

GCD(704, 468) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 704, 468, 18, 726 is 2

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1. What is the GCD of 704, 468, 18, 726?

GCD of 704, 468, 18, 726 is 2

2. Where do I get the detailed procedure to find GCD of 704, 468, 18, 726?

You can find a detailed procedure to find GCD of 704, 468, 18, 726 on our page.

3. How to find GCD of 704, 468, 18, 726 on a calculator?

You can find the GCD of 704, 468, 18, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.