GCD of 387, 768, 750, 384 Calculator

Given Input numbers are 387, 768, 750, 384

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

Greatest Common Divisior

We found the divisors of 387, 768, 750, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 768, 750, 384 is 3.

Therefore, GCD of numbers 387, 768, 750, 384 is 3

Given Input Data is 387, 768, 750, 384

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

Prime Factorization of 387 is 3 x 3 x 43

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 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(387, 768) = 99072

GCD(387, 768) = ( 387 x 768 ) / 99072

GCD(387, 768) = 297216 / 99072

GCD(387, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 384

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

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

GCD(3, 384) = 1152 / 384

GCD(3, 384) = 3

GCD of 387, 768, 750, 384 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 882, 762, 169
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• GCD of 214, 263, 388, 406

1. What is the GCD of 387, 768, 750, 384?

GCD of 387, 768, 750, 384 is 3

2. Where do I get the detailed procedure to find GCD of 387, 768, 750, 384?

You can find a detailed procedure to find GCD of 387, 768, 750, 384 on our page.

3. How to find GCD of 387, 768, 750, 384 on a calculator?

You can find the GCD of 387, 768, 750, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.