GCD of 704, 440, 32, 219 Calculator

Given Input numbers are 704, 440, 32, 219

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 704, 440, 32, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 440, 32, 219 is 1.

Therefore, GCD of numbers 704, 440, 32, 219 is 1

Given Input Data is 704, 440, 32, 219

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 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 219 is 3 x 73

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, 440) = 3520

GCD(704, 440) = ( 704 x 440 ) / 3520

GCD(704, 440) = 309760 / 3520

GCD(704, 440) = 88

Step2:

Here we consider the GCD from the above i.e. 88 as first number and the next as 32

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

LCM(88, 32) = 352

GCD(88, 32) = ( 88 x 32 ) / 352

GCD(88, 32) = 2816 / 352

GCD(88, 32) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 219

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

LCM(8, 219) = 1752

GCD(8, 219) = ( 8 x 219 ) / 1752

GCD(8, 219) = 1752 / 1752

GCD(8, 219) = 1

GCD of 704, 440, 32, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 410, 72, 838
• GCD of 376, 119, 60, 432
• GCD of 803, 415, 36, 491
• GCD of 665, 191, 14, 120
• GCD of 169, 373, 18, 960

1. What is the GCD of 704, 440, 32, 219?

GCD of 704, 440, 32, 219 is 1

2. Where do I get the detailed procedure to find GCD of 704, 440, 32, 219?

You can find a detailed procedure to find GCD of 704, 440, 32, 219 on our page.

3. How to find GCD of 704, 440, 32, 219 on a calculator?

You can find the GCD of 704, 440, 32, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.