GCD of 132, 223, 704 Calculator

Given Input numbers are 132, 223, 704

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

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

Greatest Common Divisior

We found the divisors of 132, 223, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 223, 704 is 1.

Therefore, GCD of numbers 132, 223, 704 is 1

Given Input Data is 132, 223, 704

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 223 is 223

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

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(132, 223) = 29436

GCD(132, 223) = ( 132 x 223 ) / 29436

GCD(132, 223) = 29436 / 29436

GCD(132, 223) = 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

GCD of 132, 223, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 382, 464
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1. What is the GCD of 132, 223, 704?

GCD of 132, 223, 704 is 1

2. Where do I get the detailed procedure to find GCD of 132, 223, 704?

You can find a detailed procedure to find GCD of 132, 223, 704 on our page.

3. How to find GCD of 132, 223, 704 on a calculator?

You can find the GCD of 132, 223, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.