GCD of 288, 150, 800, 767 Calculator

Given Input numbers are 288, 150, 800, 767

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 288, 150, 800, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 150, 800, 767 is 1.

Therefore, GCD of numbers 288, 150, 800, 767 is 1

Given Input Data is 288, 150, 800, 767

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 767 is 13 x 59

The above numbers do not have any common prime factor. So GCD is 1

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, 150) = 7200

GCD(288, 150) = ( 288 x 150 ) / 7200

GCD(288, 150) = 43200 / 7200

GCD(288, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 800

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

LCM(6, 800) = 2400

GCD(6, 800) = ( 6 x 800 ) / 2400

GCD(6, 800) = 4800 / 2400

GCD(6, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

GCD of 288, 150, 800, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 802, 298, 678
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1. What is the GCD of 288, 150, 800, 767?

GCD of 288, 150, 800, 767 is 1

2. Where do I get the detailed procedure to find GCD of 288, 150, 800, 767?

You can find a detailed procedure to find GCD of 288, 150, 800, 767 on our page.

3. How to find GCD of 288, 150, 800, 767 on a calculator?

You can find the GCD of 288, 150, 800, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.