GCD of 300, 766, 80, 640 Calculator

Given Input numbers are 300, 766, 80, 640

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 300, 766, 80, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 766, 80, 640 is 2.

Therefore, GCD of numbers 300, 766, 80, 640 is 2

Given Input Data is 300, 766, 80, 640

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 766 is 2 x 383

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(300, 766) = 114900

GCD(300, 766) = ( 300 x 766 ) / 114900

GCD(300, 766) = 229800 / 114900

GCD(300, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

GCD of 300, 766, 80, 640 is 2

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1. What is the GCD of 300, 766, 80, 640?

GCD of 300, 766, 80, 640 is 2

2. Where do I get the detailed procedure to find GCD of 300, 766, 80, 640?

You can find a detailed procedure to find GCD of 300, 766, 80, 640 on our page.

3. How to find GCD of 300, 766, 80, 640 on a calculator?

You can find the GCD of 300, 766, 80, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.