GCD of 829, 577, 132, 330 Calculator

Given Input numbers are 829, 577, 132, 330

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 829, 577, 132, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 577, 132, 330 is 1.

Therefore, GCD of numbers 829, 577, 132, 330 is 1

Given Input Data is 829, 577, 132, 330

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

Prime Factorization of 829 is 829

Prime Factorization of 577 is 577

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

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, 577) = 478333

GCD(829, 577) = ( 829 x 577 ) / 478333

GCD(829, 577) = 478333 / 478333

GCD(829, 577) = 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 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 829, 577, 132, 330 is 1

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1. What is the GCD of 829, 577, 132, 330?

GCD of 829, 577, 132, 330 is 1

2. Where do I get the detailed procedure to find GCD of 829, 577, 132, 330?

You can find a detailed procedure to find GCD of 829, 577, 132, 330 on our page.

3. How to find GCD of 829, 577, 132, 330 on a calculator?

You can find the GCD of 829, 577, 132, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.