GCD of 380, 829, 17, 527 Calculator

Given Input numbers are 380, 829, 17, 527

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 829

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

1, 829

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 380, 829, 17, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 829, 17, 527 is 1.

Therefore, GCD of numbers 380, 829, 17, 527 is 1

Given Input Data is 380, 829, 17, 527

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 829 is 829

Prime Factorization of 17 is 17

Prime Factorization of 527 is 17 x 31

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(380, 829) = 315020

GCD(380, 829) = ( 380 x 829 ) / 315020

GCD(380, 829) = 315020 / 315020

GCD(380, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 380, 829, 17, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 511, 84, 874
• GCD of 802, 133, 25, 603
• GCD of 693, 369, 74, 176
• GCD of 170, 576, 46, 931
• GCD of 756, 677, 33, 704

1. What is the GCD of 380, 829, 17, 527?

GCD of 380, 829, 17, 527 is 1

2. Where do I get the detailed procedure to find GCD of 380, 829, 17, 527?

You can find a detailed procedure to find GCD of 380, 829, 17, 527 on our page.

3. How to find GCD of 380, 829, 17, 527 on a calculator?

You can find the GCD of 380, 829, 17, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.