GCD of 296, 740, 30, 239 Calculator

Given Input numbers are 296, 740, 30, 239

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 296, 740, 30, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 740, 30, 239 is 1.

Therefore, GCD of numbers 296, 740, 30, 239 is 1

Given Input Data is 296, 740, 30, 239

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 239 is 239

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(296, 740) = 1480

GCD(296, 740) = ( 296 x 740 ) / 1480

GCD(296, 740) = 219040 / 1480

GCD(296, 740) = 148

Step2:

Here we consider the GCD from the above i.e. 148 as first number and the next as 30

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

LCM(148, 30) = 2220

GCD(148, 30) = ( 148 x 30 ) / 2220

GCD(148, 30) = 4440 / 2220

GCD(148, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 239

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

LCM(2, 239) = 478

GCD(2, 239) = ( 2 x 239 ) / 478

GCD(2, 239) = 478 / 478

GCD(2, 239) = 1

GCD of 296, 740, 30, 239 is 1

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• GCD of 801, 422, 76, 482
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1. What is the GCD of 296, 740, 30, 239?

GCD of 296, 740, 30, 239 is 1

2. Where do I get the detailed procedure to find GCD of 296, 740, 30, 239?

You can find a detailed procedure to find GCD of 296, 740, 30, 239 on our page.

3. How to find GCD of 296, 740, 30, 239 on a calculator?

You can find the GCD of 296, 740, 30, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.