GCD of 805, 384, 506, 146 Calculator

Given Input numbers are 805, 384, 506, 146

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 805, 384, 506, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 384, 506, 146 is 1.

Therefore, GCD of numbers 805, 384, 506, 146 is 1

Given Input Data is 805, 384, 506, 146

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 146 is 2 x 73

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(805, 384) = 309120

GCD(805, 384) = ( 805 x 384 ) / 309120

GCD(805, 384) = 309120 / 309120

GCD(805, 384) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 805, 384, 506, 146 is 1

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1. What is the GCD of 805, 384, 506, 146?

GCD of 805, 384, 506, 146 is 1

2. Where do I get the detailed procedure to find GCD of 805, 384, 506, 146?

You can find a detailed procedure to find GCD of 805, 384, 506, 146 on our page.

3. How to find GCD of 805, 384, 506, 146 on a calculator?

You can find the GCD of 805, 384, 506, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.