GCD of 398, 302, 714, 790 Calculator

Given Input numbers are 398, 302, 714, 790

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 398, 302, 714, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 302, 714, 790 is 2.

Therefore, GCD of numbers 398, 302, 714, 790 is 2

Given Input Data is 398, 302, 714, 790

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 302 is 2 x 151

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 790 is 2 x 5 x 79

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, 302) = 60098

GCD(398, 302) = ( 398 x 302 ) / 60098

GCD(398, 302) = 120196 / 60098

GCD(398, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 398, 302, 714, 790 is 2

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1. What is the GCD of 398, 302, 714, 790?

GCD of 398, 302, 714, 790 is 2

2. Where do I get the detailed procedure to find GCD of 398, 302, 714, 790?

You can find a detailed procedure to find GCD of 398, 302, 714, 790 on our page.

3. How to find GCD of 398, 302, 714, 790 on a calculator?

You can find the GCD of 398, 302, 714, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.