GCD of 398, 992, 10, 561 Calculator

Given Input numbers are 398, 992, 10, 561

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 398, 992, 10, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 992, 10, 561 is 1.

Therefore, GCD of numbers 398, 992, 10, 561 is 1

Given Input Data is 398, 992, 10, 561

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 10 is 2 x 5

Prime Factorization of 561 is 3 x 11 x 17

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, 992) = 197408

GCD(398, 992) = ( 398 x 992 ) / 197408

GCD(398, 992) = 394816 / 197408

GCD(398, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

GCD of 398, 992, 10, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 593, 24, 393
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• GCD of 812, 682, 42, 825
• GCD of 555, 656, 25, 565
• GCD of 939, 430, 68, 703

1. What is the GCD of 398, 992, 10, 561?

GCD of 398, 992, 10, 561 is 1

2. Where do I get the detailed procedure to find GCD of 398, 992, 10, 561?

You can find a detailed procedure to find GCD of 398, 992, 10, 561 on our page.

3. How to find GCD of 398, 992, 10, 561 on a calculator?

You can find the GCD of 398, 992, 10, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.