GCD of 805, 495, 256, 343 Calculator

Given Input numbers are 805, 495, 256, 343

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 805, 495, 256, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 495, 256, 343 is 1.

Therefore, GCD of numbers 805, 495, 256, 343 is 1

Given Input Data is 805, 495, 256, 343

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 495 is 3 x 3 x 5 x 11

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 343 is 7 x 7 x 7

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, 495) = 79695

GCD(805, 495) = ( 805 x 495 ) / 79695

GCD(805, 495) = 398475 / 79695

GCD(805, 495) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 256

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

LCM(5, 256) = 1280

GCD(5, 256) = ( 5 x 256 ) / 1280

GCD(5, 256) = 1280 / 1280

GCD(5, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 805, 495, 256, 343 is 1

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1. What is the GCD of 805, 495, 256, 343?

GCD of 805, 495, 256, 343 is 1

2. Where do I get the detailed procedure to find GCD of 805, 495, 256, 343?

You can find a detailed procedure to find GCD of 805, 495, 256, 343 on our page.

3. How to find GCD of 805, 495, 256, 343 on a calculator?

You can find the GCD of 805, 495, 256, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.