GCD of 242, 516, 84, 425 Calculator

Given Input numbers are 242, 516, 84, 425

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 242, 516, 84, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 516, 84, 425 is 1.

Therefore, GCD of numbers 242, 516, 84, 425 is 1

Given Input Data is 242, 516, 84, 425

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 425 is 5 x 5 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(242, 516) = 62436

GCD(242, 516) = ( 242 x 516 ) / 62436

GCD(242, 516) = 124872 / 62436

GCD(242, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

GCD of 242, 516, 84, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 893, 52, 326
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• GCD of 893, 923, 86, 489
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• GCD of 440, 265, 27, 826

1. What is the GCD of 242, 516, 84, 425?

GCD of 242, 516, 84, 425 is 1

2. Where do I get the detailed procedure to find GCD of 242, 516, 84, 425?

You can find a detailed procedure to find GCD of 242, 516, 84, 425 on our page.

3. How to find GCD of 242, 516, 84, 425 on a calculator?

You can find the GCD of 242, 516, 84, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.