GCD of 459, 402, 52, 199 Calculator

Given Input numbers are 459, 402, 52, 199

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 52

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

1, 2, 4, 13, 26, 52

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 459, 402, 52, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 402, 52, 199 is 1.

Therefore, GCD of numbers 459, 402, 52, 199 is 1

Given Input Data is 459, 402, 52, 199

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 52 is 2 x 2 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(459, 402) = 61506

GCD(459, 402) = ( 459 x 402 ) / 61506

GCD(459, 402) = 184518 / 61506

GCD(459, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 459, 402, 52, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 398, 16, 305
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• GCD of 219, 925, 36, 572
• GCD of 478, 735, 41, 711
• GCD of 259, 293, 33, 738

1. What is the GCD of 459, 402, 52, 199?

GCD of 459, 402, 52, 199 is 1

2. Where do I get the detailed procedure to find GCD of 459, 402, 52, 199?

You can find a detailed procedure to find GCD of 459, 402, 52, 199 on our page.

3. How to find GCD of 459, 402, 52, 199 on a calculator?

You can find the GCD of 459, 402, 52, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.