GCD of 40, 232, 713, 829 Calculator

Given Input numbers are 40, 232, 713, 829

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 40, 232, 713, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 232, 713, 829 is 1.

Therefore, GCD of numbers 40, 232, 713, 829 is 1

Given Input Data is 40, 232, 713, 829

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 713 is 23 x 31

Prime Factorization of 829 is 829

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(40, 232) = 1160

GCD(40, 232) = ( 40 x 232 ) / 1160

GCD(40, 232) = 9280 / 1160

GCD(40, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 713

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

LCM(8, 713) = 5704

GCD(8, 713) = ( 8 x 713 ) / 5704

GCD(8, 713) = 5704 / 5704

GCD(8, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 40, 232, 713, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 389, 758, 496
• GCD of 42, 206, 892, 144
• GCD of 52, 474, 567, 219
• GCD of 66, 112, 449, 171
• GCD of 14, 119, 826, 485

1. What is the GCD of 40, 232, 713, 829?

GCD of 40, 232, 713, 829 is 1

2. Where do I get the detailed procedure to find GCD of 40, 232, 713, 829?

You can find a detailed procedure to find GCD of 40, 232, 713, 829 on our page.

3. How to find GCD of 40, 232, 713, 829 on a calculator?

You can find the GCD of 40, 232, 713, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.