GCD of 235, 704, 96, 872 Calculator

Given Input numbers are 235, 704, 96, 872

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 235, 704, 96, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 704, 96, 872 is 1.

Therefore, GCD of numbers 235, 704, 96, 872 is 1

Given Input Data is 235, 704, 96, 872

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(235, 704) = 165440

GCD(235, 704) = ( 235 x 704 ) / 165440

GCD(235, 704) = 165440 / 165440

GCD(235, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 235, 704, 96, 872 is 1

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1. What is the GCD of 235, 704, 96, 872?

GCD of 235, 704, 96, 872 is 1

2. Where do I get the detailed procedure to find GCD of 235, 704, 96, 872?

You can find a detailed procedure to find GCD of 235, 704, 96, 872 on our page.

3. How to find GCD of 235, 704, 96, 872 on a calculator?

You can find the GCD of 235, 704, 96, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.