GCD of 707, 576, 413, 499 Calculator

Given Input numbers are 707, 576, 413, 499

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 707, 576, 413, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 576, 413, 499 is 1.

Therefore, GCD of numbers 707, 576, 413, 499 is 1

Given Input Data is 707, 576, 413, 499

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

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 499 is 499

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(707, 576) = 407232

GCD(707, 576) = ( 707 x 576 ) / 407232

GCD(707, 576) = 407232 / 407232

GCD(707, 576) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 707, 576, 413, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 859, 770, 945
• GCD of 325, 247, 864, 413
• GCD of 263, 793, 154, 872
• GCD of 568, 164, 428, 561
• GCD of 936, 869, 441, 975

1. What is the GCD of 707, 576, 413, 499?

GCD of 707, 576, 413, 499 is 1

2. Where do I get the detailed procedure to find GCD of 707, 576, 413, 499?

You can find a detailed procedure to find GCD of 707, 576, 413, 499 on our page.

3. How to find GCD of 707, 576, 413, 499 on a calculator?

You can find the GCD of 707, 576, 413, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.