GCD of 855, 375, 888, 387 Calculator

Given Input numbers are 855, 375, 888, 387

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

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

Divisors of 387

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

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 855, 375, 888, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 375, 888, 387 is 3.

Therefore, GCD of numbers 855, 375, 888, 387 is 3

Given Input Data is 855, 375, 888, 387

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 375 is 3 x 5 x 5 x 5

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

Prime Factorization of 387 is 3 x 3 x 43

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(855, 375) = 21375

GCD(855, 375) = ( 855 x 375 ) / 21375

GCD(855, 375) = 320625 / 21375

GCD(855, 375) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 888

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

LCM(15, 888) = 4440

GCD(15, 888) = ( 15 x 888 ) / 4440

GCD(15, 888) = 13320 / 4440

GCD(15, 888) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

GCD of 855, 375, 888, 387 is 3

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1. What is the GCD of 855, 375, 888, 387?

GCD of 855, 375, 888, 387 is 3

2. Where do I get the detailed procedure to find GCD of 855, 375, 888, 387?

You can find a detailed procedure to find GCD of 855, 375, 888, 387 on our page.

3. How to find GCD of 855, 375, 888, 387 on a calculator?

You can find the GCD of 855, 375, 888, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.