GCD of 480, 678, 97, 999 Calculator

Given Input numbers are 480, 678, 97, 999

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 480, 678, 97, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 678, 97, 999 is 1.

Therefore, GCD of numbers 480, 678, 97, 999 is 1

Given Input Data is 480, 678, 97, 999

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 97 is 97

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(480, 678) = 54240

GCD(480, 678) = ( 480 x 678 ) / 54240

GCD(480, 678) = 325440 / 54240

GCD(480, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 97

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

LCM(6, 97) = 582

GCD(6, 97) = ( 6 x 97 ) / 582

GCD(6, 97) = 582 / 582

GCD(6, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 480, 678, 97, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 198, 60, 580
• GCD of 289, 405, 26, 279
• GCD of 704, 329, 45, 219
• GCD of 913, 402, 40, 681
• GCD of 676, 398, 30, 286

1. What is the GCD of 480, 678, 97, 999?

GCD of 480, 678, 97, 999 is 1

2. Where do I get the detailed procedure to find GCD of 480, 678, 97, 999?

You can find a detailed procedure to find GCD of 480, 678, 97, 999 on our page.

3. How to find GCD of 480, 678, 97, 999 on a calculator?

You can find the GCD of 480, 678, 97, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.