GCD of 294, 744, 28, 197 Calculator

Given Input numbers are 294, 744, 28, 197

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

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 294, 744, 28, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 744, 28, 197 is 1.

Therefore, GCD of numbers 294, 744, 28, 197 is 1

Given Input Data is 294, 744, 28, 197

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 197 is 197

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(294, 744) = 36456

GCD(294, 744) = ( 294 x 744 ) / 36456

GCD(294, 744) = 218736 / 36456

GCD(294, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 197

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

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

GCD(2, 197) = 394 / 394

GCD(2, 197) = 1

GCD of 294, 744, 28, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 788, 50, 253
• GCD of 205, 635, 50, 993
• GCD of 602, 275, 16, 640
• GCD of 353, 649, 87, 984
• GCD of 793, 781, 86, 683

1. What is the GCD of 294, 744, 28, 197?

GCD of 294, 744, 28, 197 is 1

2. Where do I get the detailed procedure to find GCD of 294, 744, 28, 197?

You can find a detailed procedure to find GCD of 294, 744, 28, 197 on our page.

3. How to find GCD of 294, 744, 28, 197 on a calculator?

You can find the GCD of 294, 744, 28, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.