GCD of 270, 532, 182, 199 Calculator

Given Input numbers are 270, 532, 182, 199

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 270, 532, 182, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 532, 182, 199 is 1.

Therefore, GCD of numbers 270, 532, 182, 199 is 1

Given Input Data is 270, 532, 182, 199

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 199 is 199

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(270, 532) = 71820

GCD(270, 532) = ( 270 x 532 ) / 71820

GCD(270, 532) = 143640 / 71820

GCD(270, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

GCD of 270, 532, 182, 199 is 1

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1. What is the GCD of 270, 532, 182, 199?

GCD of 270, 532, 182, 199 is 1

2. Where do I get the detailed procedure to find GCD of 270, 532, 182, 199?

You can find a detailed procedure to find GCD of 270, 532, 182, 199 on our page.

3. How to find GCD of 270, 532, 182, 199 on a calculator?

You can find the GCD of 270, 532, 182, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.