GCD of 274, 728, 200, 195 Calculator

Given Input numbers are 274, 728, 200, 195

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 274, 728, 200, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 728, 200, 195 is 1.

Therefore, GCD of numbers 274, 728, 200, 195 is 1

Given Input Data is 274, 728, 200, 195

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 195 is 3 x 5 x 13

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(274, 728) = 99736

GCD(274, 728) = ( 274 x 728 ) / 99736

GCD(274, 728) = 199472 / 99736

GCD(274, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

GCD of 274, 728, 200, 195 is 1

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1. What is the GCD of 274, 728, 200, 195?

GCD of 274, 728, 200, 195 is 1

2. Where do I get the detailed procedure to find GCD of 274, 728, 200, 195?

You can find a detailed procedure to find GCD of 274, 728, 200, 195 on our page.

3. How to find GCD of 274, 728, 200, 195 on a calculator?

You can find the GCD of 274, 728, 200, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.