GCD of 98, 390, 800, 198 Calculator

Given Input numbers are 98, 390, 800, 198

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 98, 390, 800, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 390, 800, 198 is 2.

Therefore, GCD of numbers 98, 390, 800, 198 is 2

Given Input Data is 98, 390, 800, 198

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(98, 390) = 19110

GCD(98, 390) = ( 98 x 390 ) / 19110

GCD(98, 390) = 38220 / 19110

GCD(98, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 98, 390, 800, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 203, 987, 630
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• GCD of 74, 603, 982, 666
• GCD of 44, 314, 764, 120

1. What is the GCD of 98, 390, 800, 198?

GCD of 98, 390, 800, 198 is 2

2. Where do I get the detailed procedure to find GCD of 98, 390, 800, 198?

You can find a detailed procedure to find GCD of 98, 390, 800, 198 on our page.

3. How to find GCD of 98, 390, 800, 198 on a calculator?

You can find the GCD of 98, 390, 800, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.