GCD of 798, 897, 560, 198 Calculator

Given Input numbers are 798, 897, 560, 198

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 798, 897, 560, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 897, 560, 198 is 1.

Therefore, GCD of numbers 798, 897, 560, 198 is 1

Given Input Data is 798, 897, 560, 198

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

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(798, 897) = 238602

GCD(798, 897) = ( 798 x 897 ) / 238602

GCD(798, 897) = 715806 / 238602

GCD(798, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 560

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

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

GCD(3, 560) = 1680 / 1680

GCD(3, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 798, 897, 560, 198 is 1

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1. What is the GCD of 798, 897, 560, 198?

GCD of 798, 897, 560, 198 is 1

2. Where do I get the detailed procedure to find GCD of 798, 897, 560, 198?

You can find a detailed procedure to find GCD of 798, 897, 560, 198 on our page.

3. How to find GCD of 798, 897, 560, 198 on a calculator?

You can find the GCD of 798, 897, 560, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.