GCD of 687, 144, 852, 276 Calculator

Given Input numbers are 687, 144, 852, 276

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 687, 144, 852, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 144, 852, 276 is 3.

Therefore, GCD of numbers 687, 144, 852, 276 is 3

Given Input Data is 687, 144, 852, 276

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(687, 144) = 32976

GCD(687, 144) = ( 687 x 144 ) / 32976

GCD(687, 144) = 98928 / 32976

GCD(687, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 852

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

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

GCD(3, 852) = 2556 / 852

GCD(3, 852) = 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 687, 144, 852, 276 is 3

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1. What is the GCD of 687, 144, 852, 276?

GCD of 687, 144, 852, 276 is 3

2. Where do I get the detailed procedure to find GCD of 687, 144, 852, 276?

You can find a detailed procedure to find GCD of 687, 144, 852, 276 on our page.

3. How to find GCD of 687, 144, 852, 276 on a calculator?

You can find the GCD of 687, 144, 852, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.