GCD of 261, 576, 17, 122 Calculator

Given Input numbers are 261, 576, 17, 122

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 261, 576, 17, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 576, 17, 122 is 1.

Therefore, GCD of numbers 261, 576, 17, 122 is 1

Given Input Data is 261, 576, 17, 122

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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 17 is 17

Prime Factorization of 122 is 2 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(261, 576) = 16704

GCD(261, 576) = ( 261 x 576 ) / 16704

GCD(261, 576) = 150336 / 16704

GCD(261, 576) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 17

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

LCM(9, 17) = 153

GCD(9, 17) = ( 9 x 17 ) / 153

GCD(9, 17) = 153 / 153

GCD(9, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 261, 576, 17, 122 is 1

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• GCD of 726, 711, 55, 925
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1. What is the GCD of 261, 576, 17, 122?

GCD of 261, 576, 17, 122 is 1

2. Where do I get the detailed procedure to find GCD of 261, 576, 17, 122?

You can find a detailed procedure to find GCD of 261, 576, 17, 122 on our page.

3. How to find GCD of 261, 576, 17, 122 on a calculator?

You can find the GCD of 261, 576, 17, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.