GCD of 657, 381, 18, 169 Calculator

Given Input numbers are 657, 381, 18, 169

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 657, 381, 18, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 381, 18, 169 is 1.

Therefore, GCD of numbers 657, 381, 18, 169 is 1

Given Input Data is 657, 381, 18, 169

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 381 is 3 x 127

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 169 is 13 x 13

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(657, 381) = 83439

GCD(657, 381) = ( 657 x 381 ) / 83439

GCD(657, 381) = 250317 / 83439

GCD(657, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 169

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

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

GCD(3, 169) = 507 / 507

GCD(3, 169) = 1

GCD of 657, 381, 18, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 527, 49, 563
• GCD of 233, 958, 83, 457
• GCD of 845, 123, 89, 214
• GCD of 695, 395, 20, 914
• GCD of 558, 974, 57, 390

1. What is the GCD of 657, 381, 18, 169?

GCD of 657, 381, 18, 169 is 1

2. Where do I get the detailed procedure to find GCD of 657, 381, 18, 169?

You can find a detailed procedure to find GCD of 657, 381, 18, 169 on our page.

3. How to find GCD of 657, 381, 18, 169 on a calculator?

You can find the GCD of 657, 381, 18, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.