GCD of 132, 149, 18, 377 Calculator

Given Input numbers are 132, 149, 18, 377

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 132, 149, 18, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 149, 18, 377 is 1.

Therefore, GCD of numbers 132, 149, 18, 377 is 1

Given Input Data is 132, 149, 18, 377

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 149 is 149

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 377 is 13 x 29

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(132, 149) = 19668

GCD(132, 149) = ( 132 x 149 ) / 19668

GCD(132, 149) = 19668 / 19668

GCD(132, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 132, 149, 18, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 304, 57, 455
• GCD of 764, 140, 99, 451
• GCD of 706, 508, 31, 293
• GCD of 141, 882, 93, 702
• GCD of 258, 137, 47, 475

1. What is the GCD of 132, 149, 18, 377?

GCD of 132, 149, 18, 377 is 1

2. Where do I get the detailed procedure to find GCD of 132, 149, 18, 377?

You can find a detailed procedure to find GCD of 132, 149, 18, 377 on our page.

3. How to find GCD of 132, 149, 18, 377 on a calculator?

You can find the GCD of 132, 149, 18, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.