GCD of 382, 119, 165, 149 Calculator

Given Input numbers are 382, 119, 165, 149

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 149

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

1, 149

Greatest Common Divisior

We found the divisors of 382, 119, 165, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 119, 165, 149 is 1.

Therefore, GCD of numbers 382, 119, 165, 149 is 1

Given Input Data is 382, 119, 165, 149

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 119 is 7 x 17

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 149 is 149

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(382, 119) = 45458

GCD(382, 119) = ( 382 x 119 ) / 45458

GCD(382, 119) = 45458 / 45458

GCD(382, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 382, 119, 165, 149 is 1

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1. What is the GCD of 382, 119, 165, 149?

GCD of 382, 119, 165, 149 is 1

2. Where do I get the detailed procedure to find GCD of 382, 119, 165, 149?

You can find a detailed procedure to find GCD of 382, 119, 165, 149 on our page.

3. How to find GCD of 382, 119, 165, 149 on a calculator?

You can find the GCD of 382, 119, 165, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.