GCD of 199, 702, 28, 783 Calculator

Given Input numbers are 199, 702, 28, 783

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 199, 702, 28, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 702, 28, 783 is 1.

Therefore, GCD of numbers 199, 702, 28, 783 is 1

Given Input Data is 199, 702, 28, 783

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

Prime Factorization of 199 is 199

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(199, 702) = 139698

GCD(199, 702) = ( 199 x 702 ) / 139698

GCD(199, 702) = 139698 / 139698

GCD(199, 702) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 199, 702, 28, 783 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 227, 51, 420
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• GCD of 234, 193, 50, 173
• GCD of 756, 537, 86, 882
• GCD of 978, 355, 12, 160

1. What is the GCD of 199, 702, 28, 783?

GCD of 199, 702, 28, 783 is 1

2. Where do I get the detailed procedure to find GCD of 199, 702, 28, 783?

You can find a detailed procedure to find GCD of 199, 702, 28, 783 on our page.

3. How to find GCD of 199, 702, 28, 783 on a calculator?

You can find the GCD of 199, 702, 28, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.