GCD of 232, 145, 78, 865 Calculator

Given Input numbers are 232, 145, 78, 865

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 145

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

1, 5, 29, 145

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 232, 145, 78, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 145, 78, 865 is 1.

Therefore, GCD of numbers 232, 145, 78, 865 is 1

Given Input Data is 232, 145, 78, 865

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 145 is 5 x 29

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 865 is 5 x 173

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(232, 145) = 1160

GCD(232, 145) = ( 232 x 145 ) / 1160

GCD(232, 145) = 33640 / 1160

GCD(232, 145) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 78

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

LCM(29, 78) = 2262

GCD(29, 78) = ( 29 x 78 ) / 2262

GCD(29, 78) = 2262 / 2262

GCD(29, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 232, 145, 78, 865 is 1

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1. What is the GCD of 232, 145, 78, 865?

GCD of 232, 145, 78, 865 is 1

2. Where do I get the detailed procedure to find GCD of 232, 145, 78, 865?

You can find a detailed procedure to find GCD of 232, 145, 78, 865 on our page.

3. How to find GCD of 232, 145, 78, 865 on a calculator?

You can find the GCD of 232, 145, 78, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.