GCD of 326, 740, 538, 238 Calculator

Given Input numbers are 326, 740, 538, 238

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 326, 740, 538, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 740, 538, 238 is 2.

Therefore, GCD of numbers 326, 740, 538, 238 is 2

Given Input Data is 326, 740, 538, 238

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 538 is 2 x 269

Prime Factorization of 238 is 2 x 7 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(326, 740) = 120620

GCD(326, 740) = ( 326 x 740 ) / 120620

GCD(326, 740) = 241240 / 120620

GCD(326, 740) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 326, 740, 538, 238 is 2

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1. What is the GCD of 326, 740, 538, 238?

GCD of 326, 740, 538, 238 is 2

2. Where do I get the detailed procedure to find GCD of 326, 740, 538, 238?

You can find a detailed procedure to find GCD of 326, 740, 538, 238 on our page.

3. How to find GCD of 326, 740, 538, 238 on a calculator?

You can find the GCD of 326, 740, 538, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.