GCD of 398, 770, 360, 391 Calculator

Given Input numbers are 398, 770, 360, 391

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 398, 770, 360, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 770, 360, 391 is 1.

Therefore, GCD of numbers 398, 770, 360, 391 is 1

Given Input Data is 398, 770, 360, 391

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 391 is 17 x 23

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, 770) = 153230

GCD(398, 770) = ( 398 x 770 ) / 153230

GCD(398, 770) = 306460 / 153230

GCD(398, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 391

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

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

GCD(2, 391) = 782 / 782

GCD(2, 391) = 1

GCD of 398, 770, 360, 391 is 1

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1. What is the GCD of 398, 770, 360, 391?

GCD of 398, 770, 360, 391 is 1

2. Where do I get the detailed procedure to find GCD of 398, 770, 360, 391?

You can find a detailed procedure to find GCD of 398, 770, 360, 391 on our page.

3. How to find GCD of 398, 770, 360, 391 on a calculator?

You can find the GCD of 398, 770, 360, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.