GCD of 235, 145, 195, 271 Calculator

Given Input numbers are 235, 145, 195, 271

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 235, 145, 195, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 145, 195, 271 is 1.

Therefore, GCD of numbers 235, 145, 195, 271 is 1

Given Input Data is 235, 145, 195, 271

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 145 is 5 x 29

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 271 is 271

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(235, 145) = 6815

GCD(235, 145) = ( 235 x 145 ) / 6815

GCD(235, 145) = 34075 / 6815

GCD(235, 145) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 195

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

LCM(5, 195) = 195

GCD(5, 195) = ( 5 x 195 ) / 195

GCD(5, 195) = 975 / 195

GCD(5, 195) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 271

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

LCM(5, 271) = 1355

GCD(5, 271) = ( 5 x 271 ) / 1355

GCD(5, 271) = 1355 / 1355

GCD(5, 271) = 1

GCD of 235, 145, 195, 271 is 1

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1. What is the GCD of 235, 145, 195, 271?

GCD of 235, 145, 195, 271 is 1

2. Where do I get the detailed procedure to find GCD of 235, 145, 195, 271?

You can find a detailed procedure to find GCD of 235, 145, 195, 271 on our page.

3. How to find GCD of 235, 145, 195, 271 on a calculator?

You can find the GCD of 235, 145, 195, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.