GCD of 702, 576, 569, 493 Calculator

Given Input numbers are 702, 576, 569, 493

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 702, 576, 569, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 576, 569, 493 is 1.

Therefore, GCD of numbers 702, 576, 569, 493 is 1

Given Input Data is 702, 576, 569, 493

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 569 is 569

Prime Factorization of 493 is 17 x 29

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(702, 576) = 22464

GCD(702, 576) = ( 702 x 576 ) / 22464

GCD(702, 576) = 404352 / 22464

GCD(702, 576) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 569

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

LCM(18, 569) = 10242

GCD(18, 569) = ( 18 x 569 ) / 10242

GCD(18, 569) = 10242 / 10242

GCD(18, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 702, 576, 569, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 128, 862, 185
• GCD of 932, 954, 262, 476
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• GCD of 106, 239, 780, 128
• GCD of 866, 724, 505, 440

1. What is the GCD of 702, 576, 569, 493?

GCD of 702, 576, 569, 493 is 1

2. Where do I get the detailed procedure to find GCD of 702, 576, 569, 493?

You can find a detailed procedure to find GCD of 702, 576, 569, 493 on our page.

3. How to find GCD of 702, 576, 569, 493 on a calculator?

You can find the GCD of 702, 576, 569, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.