GCD of 312, 751, 998, 398 Calculator

Given Input numbers are 312, 751, 998, 398

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 312, 751, 998, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 751, 998, 398 is 1.

Therefore, GCD of numbers 312, 751, 998, 398 is 1

Given Input Data is 312, 751, 998, 398

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 751 is 751

Prime Factorization of 998 is 2 x 499

Prime Factorization of 398 is 2 x 199

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(312, 751) = 234312

GCD(312, 751) = ( 312 x 751 ) / 234312

GCD(312, 751) = 234312 / 234312

GCD(312, 751) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 312, 751, 998, 398 is 1

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• GCD of 408, 681, 911, 358
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1. What is the GCD of 312, 751, 998, 398?

GCD of 312, 751, 998, 398 is 1

2. Where do I get the detailed procedure to find GCD of 312, 751, 998, 398?

You can find a detailed procedure to find GCD of 312, 751, 998, 398 on our page.

3. How to find GCD of 312, 751, 998, 398 on a calculator?

You can find the GCD of 312, 751, 998, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.