GCD of 72, 494, 223, 294 Calculator

Given Input numbers are 72, 494, 223, 294

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 72, 494, 223, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 494, 223, 294 is 1.

Therefore, GCD of numbers 72, 494, 223, 294 is 1

Given Input Data is 72, 494, 223, 294

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 223 is 223

Prime Factorization of 294 is 2 x 3 x 7 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(72, 494) = 17784

GCD(72, 494) = ( 72 x 494 ) / 17784

GCD(72, 494) = 35568 / 17784

GCD(72, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 72, 494, 223, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 450, 223, 454
• GCD of 94, 330, 978, 989
• GCD of 15, 593, 346, 690
• GCD of 55, 227, 923, 341
• GCD of 62, 112, 520, 539

1. What is the GCD of 72, 494, 223, 294?

GCD of 72, 494, 223, 294 is 1

2. Where do I get the detailed procedure to find GCD of 72, 494, 223, 294?

You can find a detailed procedure to find GCD of 72, 494, 223, 294 on our page.

3. How to find GCD of 72, 494, 223, 294 on a calculator?

You can find the GCD of 72, 494, 223, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.