GCD of 800, 558, 56, 998 Calculator

Given Input numbers are 800, 558, 56, 998

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 800, 558, 56, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 558, 56, 998 is 2.

Therefore, GCD of numbers 800, 558, 56, 998 is 2

Given Input Data is 800, 558, 56, 998

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 998 is 2 x 499

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(800, 558) = 223200

GCD(800, 558) = ( 800 x 558 ) / 223200

GCD(800, 558) = 446400 / 223200

GCD(800, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 800, 558, 56, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 598, 85, 289
• GCD of 246, 157, 15, 839
• GCD of 950, 632, 96, 695
• GCD of 240, 223, 57, 994
• GCD of 258, 443, 13, 170

1. What is the GCD of 800, 558, 56, 998?

GCD of 800, 558, 56, 998 is 2

2. Where do I get the detailed procedure to find GCD of 800, 558, 56, 998?

You can find a detailed procedure to find GCD of 800, 558, 56, 998 on our page.

3. How to find GCD of 800, 558, 56, 998 on a calculator?

You can find the GCD of 800, 558, 56, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.