GCD of 303, 768, 99, 210 Calculator

Given Input numbers are 303, 768, 99, 210

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 303, 768, 99, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 768, 99, 210 is 3.

Therefore, GCD of numbers 303, 768, 99, 210 is 3

Given Input Data is 303, 768, 99, 210

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 210 is 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(303, 768) = 77568

GCD(303, 768) = ( 303 x 768 ) / 77568

GCD(303, 768) = 232704 / 77568

GCD(303, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 210

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

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

GCD(3, 210) = 630 / 210

GCD(3, 210) = 3

GCD of 303, 768, 99, 210 is 3

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1. What is the GCD of 303, 768, 99, 210?

GCD of 303, 768, 99, 210 is 3

2. Where do I get the detailed procedure to find GCD of 303, 768, 99, 210?

You can find a detailed procedure to find GCD of 303, 768, 99, 210 on our page.

3. How to find GCD of 303, 768, 99, 210 on a calculator?

You can find the GCD of 303, 768, 99, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.