GCD of 196, 798, 208, 585 Calculator

Given Input numbers are 196, 798, 208, 585

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 196, 798, 208, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 798, 208, 585 is 1.

Therefore, GCD of numbers 196, 798, 208, 585 is 1

Given Input Data is 196, 798, 208, 585

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(196, 798) = 11172

GCD(196, 798) = ( 196 x 798 ) / 11172

GCD(196, 798) = 156408 / 11172

GCD(196, 798) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 208

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

LCM(14, 208) = 1456

GCD(14, 208) = ( 14 x 208 ) / 1456

GCD(14, 208) = 2912 / 1456

GCD(14, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 196, 798, 208, 585 is 1

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1. What is the GCD of 196, 798, 208, 585?

GCD of 196, 798, 208, 585 is 1

2. Where do I get the detailed procedure to find GCD of 196, 798, 208, 585?

You can find a detailed procedure to find GCD of 196, 798, 208, 585 on our page.

3. How to find GCD of 196, 798, 208, 585 on a calculator?

You can find the GCD of 196, 798, 208, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.