GCD of 795, 145, 608, 231 Calculator

Given Input numbers are 795, 145, 608, 231

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 145

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

1, 5, 29, 145

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 795, 145, 608, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 145, 608, 231 is 1.

Therefore, GCD of numbers 795, 145, 608, 231 is 1

Given Input Data is 795, 145, 608, 231

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 145 is 5 x 29

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 231 is 3 x 7 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(795, 145) = 23055

GCD(795, 145) = ( 795 x 145 ) / 23055

GCD(795, 145) = 115275 / 23055

GCD(795, 145) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 608

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

LCM(5, 608) = 3040

GCD(5, 608) = ( 5 x 608 ) / 3040

GCD(5, 608) = 3040 / 3040

GCD(5, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 795, 145, 608, 231 is 1

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1. What is the GCD of 795, 145, 608, 231?

GCD of 795, 145, 608, 231 is 1

2. Where do I get the detailed procedure to find GCD of 795, 145, 608, 231?

You can find a detailed procedure to find GCD of 795, 145, 608, 231 on our page.

3. How to find GCD of 795, 145, 608, 231 on a calculator?

You can find the GCD of 795, 145, 608, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.