GCD of 709, 514, 99, 559 Calculator

Given Input numbers are 709, 514, 99, 559

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 709, 514, 99, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 514, 99, 559 is 1.

Therefore, GCD of numbers 709, 514, 99, 559 is 1

Given Input Data is 709, 514, 99, 559

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

Prime Factorization of 709 is 709

Prime Factorization of 514 is 2 x 257

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 559 is 13 x 43

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(709, 514) = 364426

GCD(709, 514) = ( 709 x 514 ) / 364426

GCD(709, 514) = 364426 / 364426

GCD(709, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 709, 514, 99, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 863, 76, 586
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• GCD of 898, 903, 95, 871

1. What is the GCD of 709, 514, 99, 559?

GCD of 709, 514, 99, 559 is 1

2. Where do I get the detailed procedure to find GCD of 709, 514, 99, 559?

You can find a detailed procedure to find GCD of 709, 514, 99, 559 on our page.

3. How to find GCD of 709, 514, 99, 559 on a calculator?

You can find the GCD of 709, 514, 99, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.