GCD of 238, 319, 14, 688 Calculator

Given Input numbers are 238, 319, 14, 688

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

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 14

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

1, 2, 7, 14

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 238, 319, 14, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 319, 14, 688 is 1.

Therefore, GCD of numbers 238, 319, 14, 688 is 1

Given Input Data is 238, 319, 14, 688

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 319 is 11 x 29

Prime Factorization of 14 is 2 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(238, 319) = 75922

GCD(238, 319) = ( 238 x 319 ) / 75922

GCD(238, 319) = 75922 / 75922

GCD(238, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 238, 319, 14, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 480, 58, 332
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• GCD of 682, 284, 43, 360
• GCD of 268, 224, 56, 345
• GCD of 336, 196, 12, 102

1. What is the GCD of 238, 319, 14, 688?

GCD of 238, 319, 14, 688 is 1

2. Where do I get the detailed procedure to find GCD of 238, 319, 14, 688?

You can find a detailed procedure to find GCD of 238, 319, 14, 688 on our page.

3. How to find GCD of 238, 319, 14, 688 on a calculator?

You can find the GCD of 238, 319, 14, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.