GCD of 18, 352, 707, 224 Calculator

Given Input numbers are 18, 352, 707, 224

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

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 18, 352, 707, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 352, 707, 224 is 1.

Therefore, GCD of numbers 18, 352, 707, 224 is 1

Given Input Data is 18, 352, 707, 224

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 707 is 7 x 101

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(18, 352) = 3168

GCD(18, 352) = ( 18 x 352 ) / 3168

GCD(18, 352) = 6336 / 3168

GCD(18, 352) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 18, 352, 707, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 829, 699, 699
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• GCD of 60, 642, 303, 959

1. What is the GCD of 18, 352, 707, 224?

GCD of 18, 352, 707, 224 is 1

2. Where do I get the detailed procedure to find GCD of 18, 352, 707, 224?

You can find a detailed procedure to find GCD of 18, 352, 707, 224 on our page.

3. How to find GCD of 18, 352, 707, 224 on a calculator?

You can find the GCD of 18, 352, 707, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.