GCD of 733, 514, 52, 198 Calculator

Given Input numbers are 733, 514, 52, 198

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 733, 514, 52, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 514, 52, 198 is 1.

Therefore, GCD of numbers 733, 514, 52, 198 is 1

Given Input Data is 733, 514, 52, 198

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

Prime Factorization of 733 is 733

Prime Factorization of 514 is 2 x 257

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(733, 514) = 376762

GCD(733, 514) = ( 733 x 514 ) / 376762

GCD(733, 514) = 376762 / 376762

GCD(733, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 733, 514, 52, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 880, 96, 849
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1. What is the GCD of 733, 514, 52, 198?

GCD of 733, 514, 52, 198 is 1

2. Where do I get the detailed procedure to find GCD of 733, 514, 52, 198?

You can find a detailed procedure to find GCD of 733, 514, 52, 198 on our page.

3. How to find GCD of 733, 514, 52, 198 on a calculator?

You can find the GCD of 733, 514, 52, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.