GCD of 657, 138, 288, 129 Calculator

Given Input numbers are 657, 138, 288, 129

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 657, 138, 288, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 138, 288, 129 is 3.

Therefore, GCD of numbers 657, 138, 288, 129 is 3

Given Input Data is 657, 138, 288, 129

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 129 is 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(657, 138) = 30222

GCD(657, 138) = ( 657 x 138 ) / 30222

GCD(657, 138) = 90666 / 30222

GCD(657, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 288

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

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

GCD(3, 288) = 864 / 288

GCD(3, 288) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 129

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

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

GCD(3, 129) = 387 / 129

GCD(3, 129) = 3

GCD of 657, 138, 288, 129 is 3

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1. What is the GCD of 657, 138, 288, 129?

GCD of 657, 138, 288, 129 is 3

2. Where do I get the detailed procedure to find GCD of 657, 138, 288, 129?

You can find a detailed procedure to find GCD of 657, 138, 288, 129 on our page.

3. How to find GCD of 657, 138, 288, 129 on a calculator?

You can find the GCD of 657, 138, 288, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.