GCD of 704, 320, 667 Calculator

Given Input numbers are 704, 320, 667

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 704, 320, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 320, 667 is 1.

Therefore, GCD of numbers 704, 320, 667 is 1

Given Input Data is 704, 320, 667

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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 667 is 23 x 29

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, 320) = 3520

GCD(704, 320) = ( 704 x 320 ) / 3520

GCD(704, 320) = 225280 / 3520

GCD(704, 320) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 667

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

LCM(64, 667) = 42688

GCD(64, 667) = ( 64 x 667 ) / 42688

GCD(64, 667) = 42688 / 42688

GCD(64, 667) = 1

GCD of 704, 320, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 366, 794
• GCD of 866, 997, 746
• GCD of 453, 392, 534
• GCD of 897, 401, 335
• GCD of 994, 214, 828

1. What is the GCD of 704, 320, 667?

GCD of 704, 320, 667 is 1

2. Where do I get the detailed procedure to find GCD of 704, 320, 667?

You can find a detailed procedure to find GCD of 704, 320, 667 on our page.

3. How to find GCD of 704, 320, 667 on a calculator?

You can find the GCD of 704, 320, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.