GCD of 180, 795, 14, 679 Calculator

Given Input numbers are 180, 795, 14, 679

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

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 180, 795, 14, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 795, 14, 679 is 1.

Therefore, GCD of numbers 180, 795, 14, 679 is 1

Given Input Data is 180, 795, 14, 679

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

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 679 is 7 x 97

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(180, 795) = 9540

GCD(180, 795) = ( 180 x 795 ) / 9540

GCD(180, 795) = 143100 / 9540

GCD(180, 795) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 14

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

LCM(15, 14) = 210

GCD(15, 14) = ( 15 x 14 ) / 210

GCD(15, 14) = 210 / 210

GCD(15, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 180, 795, 14, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 507, 85, 930
• GCD of 568, 796, 82, 276
• GCD of 582, 689, 89, 595
• GCD of 131, 300, 38, 843
• GCD of 678, 393, 34, 773

1. What is the GCD of 180, 795, 14, 679?

GCD of 180, 795, 14, 679 is 1

2. Where do I get the detailed procedure to find GCD of 180, 795, 14, 679?

You can find a detailed procedure to find GCD of 180, 795, 14, 679 on our page.

3. How to find GCD of 180, 795, 14, 679 on a calculator?

You can find the GCD of 180, 795, 14, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.