GCD of 835, 256, 172, 698 Calculator

Given Input numbers are 835, 256, 172, 698

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 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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 835, 256, 172, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 256, 172, 698 is 1.

Therefore, GCD of numbers 835, 256, 172, 698 is 1

Given Input Data is 835, 256, 172, 698

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

Prime Factorization of 835 is 5 x 167

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 698 is 2 x 349

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, 256) = 213760

GCD(835, 256) = ( 835 x 256 ) / 213760

GCD(835, 256) = 213760 / 213760

GCD(835, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 835, 256, 172, 698 is 1

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1. What is the GCD of 835, 256, 172, 698?

GCD of 835, 256, 172, 698 is 1

2. Where do I get the detailed procedure to find GCD of 835, 256, 172, 698?

You can find a detailed procedure to find GCD of 835, 256, 172, 698 on our page.

3. How to find GCD of 835, 256, 172, 698 on a calculator?

You can find the GCD of 835, 256, 172, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.