GCD of 180, 795, 78, 294 Calculator

Given Input numbers are 180, 795, 78, 294

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 180, 795, 78, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 795, 78, 294 is 3.

Therefore, GCD of numbers 180, 795, 78, 294 is 3

Given Input Data is 180, 795, 78, 294

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 78 is 2 x 3 x 13

Prime Factorization of 294 is 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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 78

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

LCM(15, 78) = 390

GCD(15, 78) = ( 15 x 78 ) / 390

GCD(15, 78) = 1170 / 390

GCD(15, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 294

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

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

GCD(3, 294) = 882 / 294

GCD(3, 294) = 3

GCD of 180, 795, 78, 294 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 544, 13, 815
• GCD of 797, 416, 45, 824
• GCD of 941, 918, 97, 617
• GCD of 199, 384, 85, 594
• GCD of 355, 199, 38, 299

1. What is the GCD of 180, 795, 78, 294?

GCD of 180, 795, 78, 294 is 3

2. Where do I get the detailed procedure to find GCD of 180, 795, 78, 294?

You can find a detailed procedure to find GCD of 180, 795, 78, 294 on our page.

3. How to find GCD of 180, 795, 78, 294 on a calculator?

You can find the GCD of 180, 795, 78, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.