GCD of 398, 308, 752 Calculator

Given Input numbers are 398, 308, 752

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 398, 308, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 308, 752 is 2.

Therefore, GCD of numbers 398, 308, 752 is 2

Given Input Data is 398, 308, 752

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(398, 308) = 61292

GCD(398, 308) = ( 398 x 308 ) / 61292

GCD(398, 308) = 122584 / 61292

GCD(398, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 398, 308, 752 is 2

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• GCD of 175, 464, 312
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1. What is the GCD of 398, 308, 752?

GCD of 398, 308, 752 is 2

2. Where do I get the detailed procedure to find GCD of 398, 308, 752?

You can find a detailed procedure to find GCD of 398, 308, 752 on our page.

3. How to find GCD of 398, 308, 752 on a calculator?

You can find the GCD of 398, 308, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.