GCD of 388, 854, 333, 705 Calculator

Given Input numbers are 388, 854, 333, 705

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 388, 854, 333, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 854, 333, 705 is 1.

Therefore, GCD of numbers 388, 854, 333, 705 is 1

Given Input Data is 388, 854, 333, 705

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 705 is 3 x 5 x 47

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(388, 854) = 165676

GCD(388, 854) = ( 388 x 854 ) / 165676

GCD(388, 854) = 331352 / 165676

GCD(388, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 333

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

LCM(2, 333) = 666

GCD(2, 333) = ( 2 x 333 ) / 666

GCD(2, 333) = 666 / 666

GCD(2, 333) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 388, 854, 333, 705 is 1

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1. What is the GCD of 388, 854, 333, 705?

GCD of 388, 854, 333, 705 is 1

2. Where do I get the detailed procedure to find GCD of 388, 854, 333, 705?

You can find a detailed procedure to find GCD of 388, 854, 333, 705 on our page.

3. How to find GCD of 388, 854, 333, 705 on a calculator?

You can find the GCD of 388, 854, 333, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.