GCD of 300, 488, 268, 663 Calculator

Given Input numbers are 300, 488, 268, 663

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 300, 488, 268, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 488, 268, 663 is 1.

Therefore, GCD of numbers 300, 488, 268, 663 is 1

Given Input Data is 300, 488, 268, 663

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 663 is 3 x 13 x 17

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(300, 488) = 36600

GCD(300, 488) = ( 300 x 488 ) / 36600

GCD(300, 488) = 146400 / 36600

GCD(300, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 268

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

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

GCD(4, 268) = 1072 / 268

GCD(4, 268) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 663

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

LCM(4, 663) = 2652

GCD(4, 663) = ( 4 x 663 ) / 2652

GCD(4, 663) = 2652 / 2652

GCD(4, 663) = 1

GCD of 300, 488, 268, 663 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 417, 927, 475
• GCD of 391, 167, 117, 405
• GCD of 350, 112, 556, 133
• GCD of 534, 103, 469, 603
• GCD of 491, 790, 666, 149

1. What is the GCD of 300, 488, 268, 663?

GCD of 300, 488, 268, 663 is 1

2. Where do I get the detailed procedure to find GCD of 300, 488, 268, 663?

You can find a detailed procedure to find GCD of 300, 488, 268, 663 on our page.

3. How to find GCD of 300, 488, 268, 663 on a calculator?

You can find the GCD of 300, 488, 268, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.