GCD of 720, 419, 38, 198 Calculator

Given Input numbers are 720, 419, 38, 198

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 720, 419, 38, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 419, 38, 198 is 1.

Therefore, GCD of numbers 720, 419, 38, 198 is 1

Given Input Data is 720, 419, 38, 198

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 419 is 419

Prime Factorization of 38 is 2 x 19

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(720, 419) = 301680

GCD(720, 419) = ( 720 x 419 ) / 301680

GCD(720, 419) = 301680 / 301680

GCD(720, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 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 720, 419, 38, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 499, 37, 134
• GCD of 606, 679, 59, 509
• GCD of 970, 211, 32, 958
• GCD of 235, 613, 43, 300
• GCD of 925, 630, 63, 244

1. What is the GCD of 720, 419, 38, 198?

GCD of 720, 419, 38, 198 is 1

2. Where do I get the detailed procedure to find GCD of 720, 419, 38, 198?

You can find a detailed procedure to find GCD of 720, 419, 38, 198 on our page.

3. How to find GCD of 720, 419, 38, 198 on a calculator?

You can find the GCD of 720, 419, 38, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.