GCD of 288, 786, 10, 650 Calculator

Given Input numbers are 288, 786, 10, 650

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 288, 786, 10, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 786, 10, 650 is 2.

Therefore, GCD of numbers 288, 786, 10, 650 is 2

Given Input Data is 288, 786, 10, 650

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 10 is 2 x 5

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(288, 786) = 37728

GCD(288, 786) = ( 288 x 786 ) / 37728

GCD(288, 786) = 226368 / 37728

GCD(288, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 288, 786, 10, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 629, 75, 339
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• GCD of 731, 170, 12, 619
• GCD of 791, 566, 71, 160

1. What is the GCD of 288, 786, 10, 650?

GCD of 288, 786, 10, 650 is 2

2. Where do I get the detailed procedure to find GCD of 288, 786, 10, 650?

You can find a detailed procedure to find GCD of 288, 786, 10, 650 on our page.

3. How to find GCD of 288, 786, 10, 650 on a calculator?

You can find the GCD of 288, 786, 10, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.