GCD of 800, 605, 68, 385 Calculator

Given Input numbers are 800, 605, 68, 385

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 800, 605, 68, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 605, 68, 385 is 1.

Therefore, GCD of numbers 800, 605, 68, 385 is 1

Given Input Data is 800, 605, 68, 385

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 385 is 5 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(800, 605) = 96800

GCD(800, 605) = ( 800 x 605 ) / 96800

GCD(800, 605) = 484000 / 96800

GCD(800, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 68

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

LCM(5, 68) = 340

GCD(5, 68) = ( 5 x 68 ) / 340

GCD(5, 68) = 340 / 340

GCD(5, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 800, 605, 68, 385 is 1

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• GCD of 422, 101, 50, 206
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1. What is the GCD of 800, 605, 68, 385?

GCD of 800, 605, 68, 385 is 1

2. Where do I get the detailed procedure to find GCD of 800, 605, 68, 385?

You can find a detailed procedure to find GCD of 800, 605, 68, 385 on our page.

3. How to find GCD of 800, 605, 68, 385 on a calculator?

You can find the GCD of 800, 605, 68, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.