GCD of 800, 794, 198, 633 Calculator

Given Input numbers are 800, 794, 198, 633

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 800, 794, 198, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 794, 198, 633 is 1.

Therefore, GCD of numbers 800, 794, 198, 633 is 1

Given Input Data is 800, 794, 198, 633

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 794 is 2 x 397

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

Prime Factorization of 633 is 3 x 211

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(800, 794) = 317600

GCD(800, 794) = ( 800 x 794 ) / 317600

GCD(800, 794) = 635200 / 317600

GCD(800, 794) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

GCD of 800, 794, 198, 633 is 1

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• GCD of 657, 619, 945, 678
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1. What is the GCD of 800, 794, 198, 633?

GCD of 800, 794, 198, 633 is 1

2. Where do I get the detailed procedure to find GCD of 800, 794, 198, 633?

You can find a detailed procedure to find GCD of 800, 794, 198, 633 on our page.

3. How to find GCD of 800, 794, 198, 633 on a calculator?

You can find the GCD of 800, 794, 198, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.