GCD of 703, 475, 408 Calculator

Given Input numbers are 703, 475, 408

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 475

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

1, 5, 19, 25, 95, 475

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 703, 475, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 475, 408 is 1.

Therefore, GCD of numbers 703, 475, 408 is 1

Given Input Data is 703, 475, 408

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(703, 475) = 17575

GCD(703, 475) = ( 703 x 475 ) / 17575

GCD(703, 475) = 333925 / 17575

GCD(703, 475) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 408

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

LCM(19, 408) = 7752

GCD(19, 408) = ( 19 x 408 ) / 7752

GCD(19, 408) = 7752 / 7752

GCD(19, 408) = 1

GCD of 703, 475, 408 is 1

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1. What is the GCD of 703, 475, 408?

GCD of 703, 475, 408 is 1

2. Where do I get the detailed procedure to find GCD of 703, 475, 408?

You can find a detailed procedure to find GCD of 703, 475, 408 on our page.

3. How to find GCD of 703, 475, 408 on a calculator?

You can find the GCD of 703, 475, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.