GCD of 196, 145, 19, 288 Calculator

Given Input numbers are 196, 145, 19, 288

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 196, 145, 19, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 145, 19, 288 is 1.

Therefore, GCD of numbers 196, 145, 19, 288 is 1

Given Input Data is 196, 145, 19, 288

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 145 is 5 x 29

Prime Factorization of 19 is 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 145) = 28420

GCD(196, 145) = ( 196 x 145 ) / 28420

GCD(196, 145) = 28420 / 28420

GCD(196, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 196, 145, 19, 288 is 1

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1. What is the GCD of 196, 145, 19, 288?

GCD of 196, 145, 19, 288 is 1

2. Where do I get the detailed procedure to find GCD of 196, 145, 19, 288?

You can find a detailed procedure to find GCD of 196, 145, 19, 288 on our page.

3. How to find GCD of 196, 145, 19, 288 on a calculator?

You can find the GCD of 196, 145, 19, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.