GCD of 99, 570, 717, 711 Calculator

Given Input numbers are 99, 570, 717, 711

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 99, 570, 717, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 570, 717, 711 is 3.

Therefore, GCD of numbers 99, 570, 717, 711 is 3

Given Input Data is 99, 570, 717, 711

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 717 is 3 x 239

Prime Factorization of 711 is 3 x 3 x 79

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(99, 570) = 18810

GCD(99, 570) = ( 99 x 570 ) / 18810

GCD(99, 570) = 56430 / 18810

GCD(99, 570) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 711

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

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

GCD(3, 711) = 2133 / 711

GCD(3, 711) = 3

GCD of 99, 570, 717, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 407, 669, 115
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• GCD of 54, 603, 648, 133
• GCD of 22, 194, 752, 741
• GCD of 56, 232, 919, 623

1. What is the GCD of 99, 570, 717, 711?

GCD of 99, 570, 717, 711 is 3

2. Where do I get the detailed procedure to find GCD of 99, 570, 717, 711?

You can find a detailed procedure to find GCD of 99, 570, 717, 711 on our page.

3. How to find GCD of 99, 570, 717, 711 on a calculator?

You can find the GCD of 99, 570, 717, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.