GCD of 228, 390, 375, 786 Calculator

Given Input numbers are 228, 390, 375, 786

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 786

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

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

Greatest Common Divisior

We found the divisors of 228, 390, 375, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 390, 375, 786 is 3.

Therefore, GCD of numbers 228, 390, 375, 786 is 3

Given Input Data is 228, 390, 375, 786

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 786 is 2 x 3 x 131

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(228, 390) = 14820

GCD(228, 390) = ( 228 x 390 ) / 14820

GCD(228, 390) = 88920 / 14820

GCD(228, 390) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 375

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

LCM(6, 375) = 750

GCD(6, 375) = ( 6 x 375 ) / 750

GCD(6, 375) = 2250 / 750

GCD(6, 375) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 786

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

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

GCD(3, 786) = 2358 / 786

GCD(3, 786) = 3

GCD of 228, 390, 375, 786 is 3

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1. What is the GCD of 228, 390, 375, 786?

GCD of 228, 390, 375, 786 is 3

2. Where do I get the detailed procedure to find GCD of 228, 390, 375, 786?

You can find a detailed procedure to find GCD of 228, 390, 375, 786 on our page.

3. How to find GCD of 228, 390, 375, 786 on a calculator?

You can find the GCD of 228, 390, 375, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.