GCD of 738, 238, 88, 318 Calculator

Given Input numbers are 738, 238, 88, 318

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 738, 238, 88, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 238, 88, 318 is 2.

Therefore, GCD of numbers 738, 238, 88, 318 is 2

Given Input Data is 738, 238, 88, 318

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 318 is 2 x 3 x 53

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(738, 238) = 87822

GCD(738, 238) = ( 738 x 238 ) / 87822

GCD(738, 238) = 175644 / 87822

GCD(738, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 738, 238, 88, 318 is 2

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1. What is the GCD of 738, 238, 88, 318?

GCD of 738, 238, 88, 318 is 2

2. Where do I get the detailed procedure to find GCD of 738, 238, 88, 318?

You can find a detailed procedure to find GCD of 738, 238, 88, 318 on our page.

3. How to find GCD of 738, 238, 88, 318 on a calculator?

You can find the GCD of 738, 238, 88, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.