GCD of 289, 529, 129, 542 Calculator

Given Input numbers are 289, 529, 129, 542

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 289, 529, 129, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 529, 129, 542 is 1.

Therefore, GCD of numbers 289, 529, 129, 542 is 1

Given Input Data is 289, 529, 129, 542

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 529 is 23 x 23

Prime Factorization of 129 is 3 x 43

Prime Factorization of 542 is 2 x 271

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(289, 529) = 152881

GCD(289, 529) = ( 289 x 529 ) / 152881

GCD(289, 529) = 152881 / 152881

GCD(289, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 289, 529, 129, 542 is 1

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1. What is the GCD of 289, 529, 129, 542?

GCD of 289, 529, 129, 542 is 1

2. Where do I get the detailed procedure to find GCD of 289, 529, 129, 542?

You can find a detailed procedure to find GCD of 289, 529, 129, 542 on our page.

3. How to find GCD of 289, 529, 129, 542 on a calculator?

You can find the GCD of 289, 529, 129, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.