GCD of 261, 960, 322, 358 Calculator

Given Input numbers are 261, 960, 322, 358

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 261, 960, 322, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 960, 322, 358 is 1.

Therefore, GCD of numbers 261, 960, 322, 358 is 1

Given Input Data is 261, 960, 322, 358

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

Prime Factorization of 261 is 3 x 3 x 29

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 358 is 2 x 179

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(261, 960) = 83520

GCD(261, 960) = ( 261 x 960 ) / 83520

GCD(261, 960) = 250560 / 83520

GCD(261, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 322

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

LCM(3, 322) = 966

GCD(3, 322) = ( 3 x 322 ) / 966

GCD(3, 322) = 966 / 966

GCD(3, 322) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 261, 960, 322, 358 is 1

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1. What is the GCD of 261, 960, 322, 358?

GCD of 261, 960, 322, 358 is 1

2. Where do I get the detailed procedure to find GCD of 261, 960, 322, 358?

You can find a detailed procedure to find GCD of 261, 960, 322, 358 on our page.

3. How to find GCD of 261, 960, 322, 358 on a calculator?

You can find the GCD of 261, 960, 322, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.