GCD of 299, 444, 688, 480 Calculator

Given Input numbers are 299, 444, 688, 480

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

Greatest Common Divisior

We found the divisors of 299, 444, 688, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 444, 688, 480 is 1.

Therefore, GCD of numbers 299, 444, 688, 480 is 1

Given Input Data is 299, 444, 688, 480

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

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(299, 444) = 132756

GCD(299, 444) = ( 299 x 444 ) / 132756

GCD(299, 444) = 132756 / 132756

GCD(299, 444) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 299, 444, 688, 480 is 1

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1. What is the GCD of 299, 444, 688, 480?

GCD of 299, 444, 688, 480 is 1

2. Where do I get the detailed procedure to find GCD of 299, 444, 688, 480?

You can find a detailed procedure to find GCD of 299, 444, 688, 480 on our page.

3. How to find GCD of 299, 444, 688, 480 on a calculator?

You can find the GCD of 299, 444, 688, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.