GCD of 366, 780, 896, 305 Calculator

Given Input numbers are 366, 780, 896, 305

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 366, 780, 896, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 780, 896, 305 is 1.

Therefore, GCD of numbers 366, 780, 896, 305 is 1

Given Input Data is 366, 780, 896, 305

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 305 is 5 x 61

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(366, 780) = 47580

GCD(366, 780) = ( 366 x 780 ) / 47580

GCD(366, 780) = 285480 / 47580

GCD(366, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 896

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

LCM(6, 896) = 2688

GCD(6, 896) = ( 6 x 896 ) / 2688

GCD(6, 896) = 5376 / 2688

GCD(6, 896) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 366, 780, 896, 305 is 1

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1. What is the GCD of 366, 780, 896, 305?

GCD of 366, 780, 896, 305 is 1

2. Where do I get the detailed procedure to find GCD of 366, 780, 896, 305?

You can find a detailed procedure to find GCD of 366, 780, 896, 305 on our page.

3. How to find GCD of 366, 780, 896, 305 on a calculator?

You can find the GCD of 366, 780, 896, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.