GCD of 522, 116, 98, 411 Calculator

Given Input numbers are 522, 116, 98, 411

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 522, 116, 98, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 116, 98, 411 is 1.

Therefore, GCD of numbers 522, 116, 98, 411 is 1

Given Input Data is 522, 116, 98, 411

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 411 is 3 x 137

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(522, 116) = 1044

GCD(522, 116) = ( 522 x 116 ) / 1044

GCD(522, 116) = 60552 / 1044

GCD(522, 116) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 98

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

LCM(58, 98) = 2842

GCD(58, 98) = ( 58 x 98 ) / 2842

GCD(58, 98) = 5684 / 2842

GCD(58, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 411

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

LCM(2, 411) = 822

GCD(2, 411) = ( 2 x 411 ) / 822

GCD(2, 411) = 822 / 822

GCD(2, 411) = 1

GCD of 522, 116, 98, 411 is 1

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• GCD of 430, 494, 60, 708

1. What is the GCD of 522, 116, 98, 411?

GCD of 522, 116, 98, 411 is 1

2. Where do I get the detailed procedure to find GCD of 522, 116, 98, 411?

You can find a detailed procedure to find GCD of 522, 116, 98, 411 on our page.

3. How to find GCD of 522, 116, 98, 411 on a calculator?

You can find the GCD of 522, 116, 98, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.