GCD of 52, 442, 409, 298 Calculator

Given Input numbers are 52, 442, 409, 298

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 442

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

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 52, 442, 409, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 442, 409, 298 is 1.

Therefore, GCD of numbers 52, 442, 409, 298 is 1

Given Input Data is 52, 442, 409, 298

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 409 is 409

Prime Factorization of 298 is 2 x 149

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(52, 442) = 884

GCD(52, 442) = ( 52 x 442 ) / 884

GCD(52, 442) = 22984 / 884

GCD(52, 442) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 409

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

LCM(26, 409) = 10634

GCD(26, 409) = ( 26 x 409 ) / 10634

GCD(26, 409) = 10634 / 10634

GCD(26, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 52, 442, 409, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 247, 367, 516
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• GCD of 58, 494, 441, 943
• GCD of 90, 229, 752, 528
• GCD of 50, 690, 127, 538

1. What is the GCD of 52, 442, 409, 298?

GCD of 52, 442, 409, 298 is 1

2. Where do I get the detailed procedure to find GCD of 52, 442, 409, 298?

You can find a detailed procedure to find GCD of 52, 442, 409, 298 on our page.

3. How to find GCD of 52, 442, 409, 298 on a calculator?

You can find the GCD of 52, 442, 409, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.