GCD of 129, 285, 163, 657 Calculator

Given Input numbers are 129, 285, 163, 657

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

Divisors of 129

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

1, 3, 43, 129

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 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 657

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

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 129, 285, 163, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 285, 163, 657 is 1.

Therefore, GCD of numbers 129, 285, 163, 657 is 1

Given Input Data is 129, 285, 163, 657

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 163 is 163

Prime Factorization of 657 is 3 x 3 x 73

The above numbers do not have any common prime factor. So GCD is 1

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(129, 285) = 12255

GCD(129, 285) = ( 129 x 285 ) / 12255

GCD(129, 285) = 36765 / 12255

GCD(129, 285) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 163

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

LCM(3, 163) = 489

GCD(3, 163) = ( 3 x 163 ) / 489

GCD(3, 163) = 489 / 489

GCD(3, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 129, 285, 163, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 756, 635, 297
• GCD of 728, 818, 192, 392
• GCD of 586, 706, 211, 160
• GCD of 763, 487, 680, 921
• GCD of 103, 219, 220, 905

1. What is the GCD of 129, 285, 163, 657?

GCD of 129, 285, 163, 657 is 1

2. Where do I get the detailed procedure to find GCD of 129, 285, 163, 657?

You can find a detailed procedure to find GCD of 129, 285, 163, 657 on our page.

3. How to find GCD of 129, 285, 163, 657 on a calculator?

You can find the GCD of 129, 285, 163, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.