GCD of 42, 736, 395, 238 Calculator

Given Input numbers are 42, 736, 395, 238

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 42, 736, 395, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 736, 395, 238 is 1.

Therefore, GCD of numbers 42, 736, 395, 238 is 1

Given Input Data is 42, 736, 395, 238

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 395 is 5 x 79

Prime Factorization of 238 is 2 x 7 x 17

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, 736) = 15456

GCD(42, 736) = ( 42 x 736 ) / 15456

GCD(42, 736) = 30912 / 15456

GCD(42, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 42, 736, 395, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 872, 824, 512
• GCD of 24, 373, 778, 587
• GCD of 77, 897, 783, 445
• GCD of 33, 274, 334, 454
• GCD of 45, 419, 912, 497

1. What is the GCD of 42, 736, 395, 238?

GCD of 42, 736, 395, 238 is 1

2. Where do I get the detailed procedure to find GCD of 42, 736, 395, 238?

You can find a detailed procedure to find GCD of 42, 736, 395, 238 on our page.

3. How to find GCD of 42, 736, 395, 238 on a calculator?

You can find the GCD of 42, 736, 395, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.