GCD of 727, 259, 402, 442 Calculator

Given Input numbers are 727, 259, 402, 442

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 727, 259, 402, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 259, 402, 442 is 1.

Therefore, GCD of numbers 727, 259, 402, 442 is 1

Given Input Data is 727, 259, 402, 442

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

Prime Factorization of 727 is 727

Prime Factorization of 259 is 7 x 37

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 442 is 2 x 13 x 17

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(727, 259) = 188293

GCD(727, 259) = ( 727 x 259 ) / 188293

GCD(727, 259) = 188293 / 188293

GCD(727, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 727, 259, 402, 442 is 1

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1. What is the GCD of 727, 259, 402, 442?

GCD of 727, 259, 402, 442 is 1

2. Where do I get the detailed procedure to find GCD of 727, 259, 402, 442?

You can find a detailed procedure to find GCD of 727, 259, 402, 442 on our page.

3. How to find GCD of 727, 259, 402, 442 on a calculator?

You can find the GCD of 727, 259, 402, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.