GCD of 345, 190, 53, 238 Calculator

Given Input numbers are 345, 190, 53, 238

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 345, 190, 53, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 190, 53, 238 is 1.

Therefore, GCD of numbers 345, 190, 53, 238 is 1

Given Input Data is 345, 190, 53, 238

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 53 is 53

Prime Factorization of 238 is 2 x 7 x 17

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(345, 190) = 13110

GCD(345, 190) = ( 345 x 190 ) / 13110

GCD(345, 190) = 65550 / 13110

GCD(345, 190) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 53

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

LCM(5, 53) = 265

GCD(5, 53) = ( 5 x 53 ) / 265

GCD(5, 53) = 265 / 265

GCD(5, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 345, 190, 53, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 905, 57, 259
• GCD of 726, 601, 66, 533
• GCD of 340, 448, 76, 163
• GCD of 636, 384, 36, 354
• GCD of 539, 183, 31, 895

1. What is the GCD of 345, 190, 53, 238?

GCD of 345, 190, 53, 238 is 1

2. Where do I get the detailed procedure to find GCD of 345, 190, 53, 238?

You can find a detailed procedure to find GCD of 345, 190, 53, 238 on our page.

3. How to find GCD of 345, 190, 53, 238 on a calculator?

You can find the GCD of 345, 190, 53, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.