GCD of 308, 180, 49, 719 Calculator

Given Input numbers are 308, 180, 49, 719

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 308, 180, 49, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 180, 49, 719 is 1.

Therefore, GCD of numbers 308, 180, 49, 719 is 1

Given Input Data is 308, 180, 49, 719

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 49 is 7 x 7

Prime Factorization of 719 is 719

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(308, 180) = 13860

GCD(308, 180) = ( 308 x 180 ) / 13860

GCD(308, 180) = 55440 / 13860

GCD(308, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 719

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

LCM(1, 719) = 719

GCD(1, 719) = ( 1 x 719 ) / 719

GCD(1, 719) = 719 / 719

GCD(1, 719) = 1

GCD of 308, 180, 49, 719 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 144, 98, 150
• GCD of 705, 140, 64, 533
• GCD of 397, 424, 73, 235
• GCD of 246, 481, 55, 391
• GCD of 170, 361, 86, 629

1. What is the GCD of 308, 180, 49, 719?

GCD of 308, 180, 49, 719 is 1

2. Where do I get the detailed procedure to find GCD of 308, 180, 49, 719?

You can find a detailed procedure to find GCD of 308, 180, 49, 719 on our page.

3. How to find GCD of 308, 180, 49, 719 on a calculator?

You can find the GCD of 308, 180, 49, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.