GCD of 80, 668, 998, 300 Calculator

Given Input numbers are 80, 668, 998, 300

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

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

Greatest Common Divisior

We found the divisors of 80, 668, 998, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 668, 998, 300 is 2.

Therefore, GCD of numbers 80, 668, 998, 300 is 2

Given Input Data is 80, 668, 998, 300

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 998 is 2 x 499

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(80, 668) = 13360

GCD(80, 668) = ( 80 x 668 ) / 13360

GCD(80, 668) = 53440 / 13360

GCD(80, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 998

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

LCM(4, 998) = 1996

GCD(4, 998) = ( 4 x 998 ) / 1996

GCD(4, 998) = 3992 / 1996

GCD(4, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 80, 668, 998, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 880, 609, 212
• GCD of 21, 999, 845, 345
• GCD of 97, 903, 955, 902
• GCD of 28, 723, 183, 441
• GCD of 79, 402, 100, 375

1. What is the GCD of 80, 668, 998, 300?

GCD of 80, 668, 998, 300 is 2

2. Where do I get the detailed procedure to find GCD of 80, 668, 998, 300?

You can find a detailed procedure to find GCD of 80, 668, 998, 300 on our page.

3. How to find GCD of 80, 668, 998, 300 on a calculator?

You can find the GCD of 80, 668, 998, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.