GCD of 750, 228, 100, 300 Calculator

Given Input numbers are 750, 228, 100, 300

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 750, 228, 100, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 228, 100, 300 is 2.

Therefore, GCD of numbers 750, 228, 100, 300 is 2

Given Input Data is 750, 228, 100, 300

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(750, 228) = 28500

GCD(750, 228) = ( 750 x 228 ) / 28500

GCD(750, 228) = 171000 / 28500

GCD(750, 228) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 100

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

LCM(6, 100) = 300

GCD(6, 100) = ( 6 x 100 ) / 300

GCD(6, 100) = 600 / 300

GCD(6, 100) = 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 750, 228, 100, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 936, 302, 963
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• GCD of 464, 659, 922, 193
• GCD of 573, 451, 530, 923
• GCD of 801, 217, 804, 617

1. What is the GCD of 750, 228, 100, 300?

GCD of 750, 228, 100, 300 is 2

2. Where do I get the detailed procedure to find GCD of 750, 228, 100, 300?

You can find a detailed procedure to find GCD of 750, 228, 100, 300 on our page.

3. How to find GCD of 750, 228, 100, 300 on a calculator?

You can find the GCD of 750, 228, 100, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.