GCD of 398, 304, 712, 532 Calculator

Given Input numbers are 398, 304, 712, 532

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 398, 304, 712, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 304, 712, 532 is 2.

Therefore, GCD of numbers 398, 304, 712, 532 is 2

Given Input Data is 398, 304, 712, 532

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 532 is 2 x 2 x 7 x 19

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, 304) = 60496

GCD(398, 304) = ( 398 x 304 ) / 60496

GCD(398, 304) = 120992 / 60496

GCD(398, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

GCD of 398, 304, 712, 532 is 2

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• GCD of 364, 735, 415, 720
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1. What is the GCD of 398, 304, 712, 532?

GCD of 398, 304, 712, 532 is 2

2. Where do I get the detailed procedure to find GCD of 398, 304, 712, 532?

You can find a detailed procedure to find GCD of 398, 304, 712, 532 on our page.

3. How to find GCD of 398, 304, 712, 532 on a calculator?

You can find the GCD of 398, 304, 712, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.