GCD of 180, 295, 54, 816 Calculator

Given Input numbers are 180, 295, 54, 816

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 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 180, 295, 54, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 295, 54, 816 is 1.

Therefore, GCD of numbers 180, 295, 54, 816 is 1

Given Input Data is 180, 295, 54, 816

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 295 is 5 x 59

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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, 295) = 10620

GCD(180, 295) = ( 180 x 295 ) / 10620

GCD(180, 295) = 53100 / 10620

GCD(180, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 54

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

LCM(5, 54) = 270

GCD(5, 54) = ( 5 x 54 ) / 270

GCD(5, 54) = 270 / 270

GCD(5, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 180, 295, 54, 816 is 1

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• GCD of 763, 864, 67, 552
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• GCD of 532, 229, 35, 290

1. What is the GCD of 180, 295, 54, 816?

GCD of 180, 295, 54, 816 is 1

2. Where do I get the detailed procedure to find GCD of 180, 295, 54, 816?

You can find a detailed procedure to find GCD of 180, 295, 54, 816 on our page.

3. How to find GCD of 180, 295, 54, 816 on a calculator?

You can find the GCD of 180, 295, 54, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.