GCD of 704, 389, 375 Calculator

Given Input numbers are 704, 389, 375

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

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 704, 389, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 389, 375 is 1.

Therefore, GCD of numbers 704, 389, 375 is 1

Given Input Data is 704, 389, 375

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

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

Prime Factorization of 389 is 389

Prime Factorization of 375 is 3 x 5 x 5 x 5

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(704, 389) = 273856

GCD(704, 389) = ( 704 x 389 ) / 273856

GCD(704, 389) = 273856 / 273856

GCD(704, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 704, 389, 375 is 1

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1. What is the GCD of 704, 389, 375?

GCD of 704, 389, 375 is 1

2. Where do I get the detailed procedure to find GCD of 704, 389, 375?

You can find a detailed procedure to find GCD of 704, 389, 375 on our page.

3. How to find GCD of 704, 389, 375 on a calculator?

You can find the GCD of 704, 389, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.