GCD of 829, 319, 132, 829 Calculator

Given Input numbers are 829, 319, 132, 829

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

Divisors of 829

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

1, 829

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 829, 319, 132, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 319, 132, 829 is 1.

Therefore, GCD of numbers 829, 319, 132, 829 is 1

Given Input Data is 829, 319, 132, 829

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

Prime Factorization of 829 is 829

Prime Factorization of 319 is 11 x 29

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(829, 319) = 264451

GCD(829, 319) = ( 829 x 319 ) / 264451

GCD(829, 319) = 264451 / 264451

GCD(829, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 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 829, 319, 132, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 488, 292, 738
• GCD of 210, 491, 717, 505
• GCD of 174, 511, 210, 828
• GCD of 259, 829, 457, 507
• GCD of 135, 907, 534, 645

1. What is the GCD of 829, 319, 132, 829?

GCD of 829, 319, 132, 829 is 1

2. Where do I get the detailed procedure to find GCD of 829, 319, 132, 829?

You can find a detailed procedure to find GCD of 829, 319, 132, 829 on our page.

3. How to find GCD of 829, 319, 132, 829 on a calculator?

You can find the GCD of 829, 319, 132, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.