GCD of 723, 475, 704, 993 Calculator

Given Input numbers are 723, 475, 704, 993

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 475

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

1, 5, 19, 25, 95, 475

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 723, 475, 704, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 475, 704, 993 is 1.

Therefore, GCD of numbers 723, 475, 704, 993 is 1

Given Input Data is 723, 475, 704, 993

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 475 is 5 x 5 x 19

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

Prime Factorization of 993 is 3 x 331

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(723, 475) = 343425

GCD(723, 475) = ( 723 x 475 ) / 343425

GCD(723, 475) = 343425 / 343425

GCD(723, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 723, 475, 704, 993 is 1

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1. What is the GCD of 723, 475, 704, 993?

GCD of 723, 475, 704, 993 is 1

2. Where do I get the detailed procedure to find GCD of 723, 475, 704, 993?

You can find a detailed procedure to find GCD of 723, 475, 704, 993 on our page.

3. How to find GCD of 723, 475, 704, 993 on a calculator?

You can find the GCD of 723, 475, 704, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.