GCD of 835, 713, 257, 946 Calculator

Given Input numbers are 835, 713, 257, 946

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 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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 835, 713, 257, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 713, 257, 946 is 1.

Therefore, GCD of numbers 835, 713, 257, 946 is 1

Given Input Data is 835, 713, 257, 946

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 713 is 23 x 31

Prime Factorization of 257 is 257

Prime Factorization of 946 is 2 x 11 x 43

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, 713) = 595355

GCD(835, 713) = ( 835 x 713 ) / 595355

GCD(835, 713) = 595355 / 595355

GCD(835, 713) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 835, 713, 257, 946 is 1

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1. What is the GCD of 835, 713, 257, 946?

GCD of 835, 713, 257, 946 is 1

2. Where do I get the detailed procedure to find GCD of 835, 713, 257, 946?

You can find a detailed procedure to find GCD of 835, 713, 257, 946 on our page.

3. How to find GCD of 835, 713, 257, 946 on a calculator?

You can find the GCD of 835, 713, 257, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.