GCD of 285, 183, 678, 276 Calculator

Given Input numbers are 285, 183, 678, 276

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 285, 183, 678, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 183, 678, 276 is 3.

Therefore, GCD of numbers 285, 183, 678, 276 is 3

Given Input Data is 285, 183, 678, 276

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 183 is 3 x 61

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(285, 183) = 17385

GCD(285, 183) = ( 285 x 183 ) / 17385

GCD(285, 183) = 52155 / 17385

GCD(285, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 678

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

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

GCD(3, 678) = 2034 / 678

GCD(3, 678) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 276

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

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

GCD(3, 276) = 828 / 276

GCD(3, 276) = 3

GCD of 285, 183, 678, 276 is 3

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1. What is the GCD of 285, 183, 678, 276?

GCD of 285, 183, 678, 276 is 3

2. Where do I get the detailed procedure to find GCD of 285, 183, 678, 276?

You can find a detailed procedure to find GCD of 285, 183, 678, 276 on our page.

3. How to find GCD of 285, 183, 678, 276 on a calculator?

You can find the GCD of 285, 183, 678, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.