GCD of 704, 118, 475 Calculator

Given Input numbers are 704, 118, 475

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 704, 118, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 118, 475 is 1.

Therefore, GCD of numbers 704, 118, 475 is 1

Given Input Data is 704, 118, 475

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 118 is 2 x 59

Prime Factorization of 475 is 5 x 5 x 19

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, 118) = 41536

GCD(704, 118) = ( 704 x 118 ) / 41536

GCD(704, 118) = 83072 / 41536

GCD(704, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

GCD of 704, 118, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 868, 565
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1. What is the GCD of 704, 118, 475?

GCD of 704, 118, 475 is 1

2. Where do I get the detailed procedure to find GCD of 704, 118, 475?

You can find a detailed procedure to find GCD of 704, 118, 475 on our page.

3. How to find GCD of 704, 118, 475 on a calculator?

You can find the GCD of 704, 118, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.