GCD of 17, 502, 234, 380 Calculator

Given Input numbers are 17, 502, 234, 380

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

Divisors of 17

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

1, 17

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

Greatest Common Divisior

We found the divisors of 17, 502, 234, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 502, 234, 380 is 1.

Therefore, GCD of numbers 17, 502, 234, 380 is 1

Given Input Data is 17, 502, 234, 380

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

Prime Factorization of 17 is 17

Prime Factorization of 502 is 2 x 251

Prime Factorization of 234 is 2 x 3 x 3 x 13

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

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(17, 502) = 8534

GCD(17, 502) = ( 17 x 502 ) / 8534

GCD(17, 502) = 8534 / 8534

GCD(17, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 17, 502, 234, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 848, 753, 375
• GCD of 25, 714, 289, 666
• GCD of 88, 195, 110, 183
• GCD of 38, 686, 218, 896
• GCD of 33, 665, 129, 586

1. What is the GCD of 17, 502, 234, 380?

GCD of 17, 502, 234, 380 is 1

2. Where do I get the detailed procedure to find GCD of 17, 502, 234, 380?

You can find a detailed procedure to find GCD of 17, 502, 234, 380 on our page.

3. How to find GCD of 17, 502, 234, 380 on a calculator?

You can find the GCD of 17, 502, 234, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.