GCD of 229, 363, 838, 960 Calculator

Given Input numbers are 229, 363, 838, 960

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

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 229, 363, 838, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 363, 838, 960 is 1.

Therefore, GCD of numbers 229, 363, 838, 960 is 1

Given Input Data is 229, 363, 838, 960

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

Prime Factorization of 229 is 229

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 838 is 2 x 419

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(229, 363) = 83127

GCD(229, 363) = ( 229 x 363 ) / 83127

GCD(229, 363) = 83127 / 83127

GCD(229, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 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 229, 363, 838, 960 is 1

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1. What is the GCD of 229, 363, 838, 960?

GCD of 229, 363, 838, 960 is 1

2. Where do I get the detailed procedure to find GCD of 229, 363, 838, 960?

You can find a detailed procedure to find GCD of 229, 363, 838, 960 on our page.

3. How to find GCD of 229, 363, 838, 960 on a calculator?

You can find the GCD of 229, 363, 838, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.