GCD of 387, 399, 759, 888 Calculator

Given Input numbers are 387, 399, 759, 888

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 387, 399, 759, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 399, 759, 888 is 3.

Therefore, GCD of numbers 387, 399, 759, 888 is 3

Given Input Data is 387, 399, 759, 888

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 399 is 3 x 7 x 19

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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, 399) = 51471

GCD(387, 399) = ( 387 x 399 ) / 51471

GCD(387, 399) = 154413 / 51471

GCD(387, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 759

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

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

GCD(3, 759) = 2277 / 759

GCD(3, 759) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 888

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

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

GCD(3, 888) = 2664 / 888

GCD(3, 888) = 3

GCD of 387, 399, 759, 888 is 3

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1. What is the GCD of 387, 399, 759, 888?

GCD of 387, 399, 759, 888 is 3

2. Where do I get the detailed procedure to find GCD of 387, 399, 759, 888?

You can find a detailed procedure to find GCD of 387, 399, 759, 888 on our page.

3. How to find GCD of 387, 399, 759, 888 on a calculator?

You can find the GCD of 387, 399, 759, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.