GCD of 236, 238, 14, 374 Calculator

Given Input numbers are 236, 238, 14, 374

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 238

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

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 236, 238, 14, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 238, 14, 374 is 2.

Therefore, GCD of numbers 236, 238, 14, 374 is 2

Given Input Data is 236, 238, 14, 374

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 374 is 2 x 11 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(236, 238) = 28084

GCD(236, 238) = ( 236 x 238 ) / 28084

GCD(236, 238) = 56168 / 28084

GCD(236, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 236, 238, 14, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 976, 28, 833
• GCD of 727, 923, 48, 791
• GCD of 311, 632, 18, 964
• GCD of 395, 374, 72, 379
• GCD of 688, 840, 91, 379

1. What is the GCD of 236, 238, 14, 374?

GCD of 236, 238, 14, 374 is 2

2. Where do I get the detailed procedure to find GCD of 236, 238, 14, 374?

You can find a detailed procedure to find GCD of 236, 238, 14, 374 on our page.

3. How to find GCD of 236, 238, 14, 374 on a calculator?

You can find the GCD of 236, 238, 14, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.