GCD of 664, 680, 448 Calculator

Given Input numbers are 664, 680, 448

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 664, 680, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 680, 448 is 8.

Therefore, GCD of numbers 664, 680, 448 is 8

Given Input Data is 664, 680, 448

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(664, 680) = 56440

GCD(664, 680) = ( 664 x 680 ) / 56440

GCD(664, 680) = 451520 / 56440

GCD(664, 680) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 448

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

LCM(8, 448) = 448

GCD(8, 448) = ( 8 x 448 ) / 448

GCD(8, 448) = 3584 / 448

GCD(8, 448) = 8

GCD of 664, 680, 448 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 395, 366
• GCD of 769, 687, 315
• GCD of 677, 844, 306
• GCD of 487, 166, 424
• GCD of 236, 896, 804

1. What is the GCD of 664, 680, 448?

GCD of 664, 680, 448 is 8

2. Where do I get the detailed procedure to find GCD of 664, 680, 448?

You can find a detailed procedure to find GCD of 664, 680, 448 on our page.

3. How to find GCD of 664, 680, 448 on a calculator?

You can find the GCD of 664, 680, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.