GCD of 28, 343, 739, 204 Calculator

Given Input numbers are 28, 343, 739, 204

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 28, 343, 739, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 343, 739, 204 is 1.

Therefore, GCD of numbers 28, 343, 739, 204 is 1

Given Input Data is 28, 343, 739, 204

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 739 is 739

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(28, 343) = 1372

GCD(28, 343) = ( 28 x 343 ) / 1372

GCD(28, 343) = 9604 / 1372

GCD(28, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 739

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

LCM(7, 739) = 5173

GCD(7, 739) = ( 7 x 739 ) / 5173

GCD(7, 739) = 5173 / 5173

GCD(7, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 28, 343, 739, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 746, 702, 641
• GCD of 58, 707, 801, 894
• GCD of 95, 706, 385, 930
• GCD of 47, 181, 243, 894
• GCD of 27, 689, 504, 751

1. What is the GCD of 28, 343, 739, 204?

GCD of 28, 343, 739, 204 is 1

2. Where do I get the detailed procedure to find GCD of 28, 343, 739, 204?

You can find a detailed procedure to find GCD of 28, 343, 739, 204 on our page.

3. How to find GCD of 28, 343, 739, 204 on a calculator?

You can find the GCD of 28, 343, 739, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.