GCD of 727, 779, 228, 960 Calculator

Given Input numbers are 727, 779, 228, 960

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 727, 779, 228, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 779, 228, 960 is 1.

Therefore, GCD of numbers 727, 779, 228, 960 is 1

Given Input Data is 727, 779, 228, 960

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

Prime Factorization of 727 is 727

Prime Factorization of 779 is 19 x 41

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(727, 779) = 566333

GCD(727, 779) = ( 727 x 779 ) / 566333

GCD(727, 779) = 566333 / 566333

GCD(727, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 727, 779, 228, 960 is 1

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1. What is the GCD of 727, 779, 228, 960?

GCD of 727, 779, 228, 960 is 1

2. Where do I get the detailed procedure to find GCD of 727, 779, 228, 960?

You can find a detailed procedure to find GCD of 727, 779, 228, 960 on our page.

3. How to find GCD of 727, 779, 228, 960 on a calculator?

You can find the GCD of 727, 779, 228, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.