GCD of 305, 865, 432, 914 Calculator

Given Input numbers are 305, 865, 432, 914

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 865

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

1, 5, 173, 865

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 305, 865, 432, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 865, 432, 914 is 1.

Therefore, GCD of numbers 305, 865, 432, 914 is 1

Given Input Data is 305, 865, 432, 914

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 865 is 5 x 173

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 914 is 2 x 457

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(305, 865) = 52765

GCD(305, 865) = ( 305 x 865 ) / 52765

GCD(305, 865) = 263825 / 52765

GCD(305, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 432

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

LCM(5, 432) = 2160

GCD(5, 432) = ( 5 x 432 ) / 2160

GCD(5, 432) = 2160 / 2160

GCD(5, 432) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 305, 865, 432, 914 is 1

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• GCD of 545, 905, 456, 814

1. What is the GCD of 305, 865, 432, 914?

GCD of 305, 865, 432, 914 is 1

2. Where do I get the detailed procedure to find GCD of 305, 865, 432, 914?

You can find a detailed procedure to find GCD of 305, 865, 432, 914 on our page.

3. How to find GCD of 305, 865, 432, 914 on a calculator?

You can find the GCD of 305, 865, 432, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.