GCD of 42, 381, 165, 710 Calculator

Given Input numbers are 42, 381, 165, 710

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 381

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

1, 3, 127, 381

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 42, 381, 165, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 381, 165, 710 is 1.

Therefore, GCD of numbers 42, 381, 165, 710 is 1

Given Input Data is 42, 381, 165, 710

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 381 is 3 x 127

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 710 is 2 x 5 x 71

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(42, 381) = 5334

GCD(42, 381) = ( 42 x 381 ) / 5334

GCD(42, 381) = 16002 / 5334

GCD(42, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 165

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

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

GCD(3, 165) = 495 / 165

GCD(3, 165) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 710

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

LCM(3, 710) = 2130

GCD(3, 710) = ( 3 x 710 ) / 2130

GCD(3, 710) = 2130 / 2130

GCD(3, 710) = 1

GCD of 42, 381, 165, 710 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 118, 761, 976
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• GCD of 11, 838, 865, 289
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• GCD of 44, 330, 922, 789

1. What is the GCD of 42, 381, 165, 710?

GCD of 42, 381, 165, 710 is 1

2. Where do I get the detailed procedure to find GCD of 42, 381, 165, 710?

You can find a detailed procedure to find GCD of 42, 381, 165, 710 on our page.

3. How to find GCD of 42, 381, 165, 710 on a calculator?

You can find the GCD of 42, 381, 165, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.