GCD of 342, 449, 265, 960 Calculator

Given Input numbers are 342, 449, 265, 960

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 342, 449, 265, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 449, 265, 960 is 1.

Therefore, GCD of numbers 342, 449, 265, 960 is 1

Given Input Data is 342, 449, 265, 960

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 449 is 449

Prime Factorization of 265 is 5 x 53

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(342, 449) = 153558

GCD(342, 449) = ( 342 x 449 ) / 153558

GCD(342, 449) = 153558 / 153558

GCD(342, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 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 342, 449, 265, 960 is 1

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1. What is the GCD of 342, 449, 265, 960?

GCD of 342, 449, 265, 960 is 1

2. Where do I get the detailed procedure to find GCD of 342, 449, 265, 960?

You can find a detailed procedure to find GCD of 342, 449, 265, 960 on our page.

3. How to find GCD of 342, 449, 265, 960 on a calculator?

You can find the GCD of 342, 449, 265, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.