GCD of 398, 713, 752, 916 Calculator

Given Input numbers are 398, 713, 752, 916

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 398, 713, 752, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 713, 752, 916 is 1.

Therefore, GCD of numbers 398, 713, 752, 916 is 1

Given Input Data is 398, 713, 752, 916

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 713 is 23 x 31

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

Prime Factorization of 916 is 2 x 2 x 229

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(398, 713) = 283774

GCD(398, 713) = ( 398 x 713 ) / 283774

GCD(398, 713) = 283774 / 283774

GCD(398, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 398, 713, 752, 916 is 1

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• GCD of 232, 794, 443, 894
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1. What is the GCD of 398, 713, 752, 916?

GCD of 398, 713, 752, 916 is 1

2. Where do I get the detailed procedure to find GCD of 398, 713, 752, 916?

You can find a detailed procedure to find GCD of 398, 713, 752, 916 on our page.

3. How to find GCD of 398, 713, 752, 916 on a calculator?

You can find the GCD of 398, 713, 752, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.