GCD of 835, 384, 713, 257 Calculator

Given Input numbers are 835, 384, 713, 257

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

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 835, 384, 713, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 384, 713, 257 is 1.

Therefore, GCD of numbers 835, 384, 713, 257 is 1

Given Input Data is 835, 384, 713, 257

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

Prime Factorization of 835 is 5 x 167

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 257 is 257

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(835, 384) = 320640

GCD(835, 384) = ( 835 x 384 ) / 320640

GCD(835, 384) = 320640 / 320640

GCD(835, 384) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 835, 384, 713, 257 is 1

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1. What is the GCD of 835, 384, 713, 257?

GCD of 835, 384, 713, 257 is 1

2. Where do I get the detailed procedure to find GCD of 835, 384, 713, 257?

You can find a detailed procedure to find GCD of 835, 384, 713, 257 on our page.

3. How to find GCD of 835, 384, 713, 257 on a calculator?

You can find the GCD of 835, 384, 713, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.