GCD of 240, 549, 322, 172 Calculator

Given Input numbers are 240, 549, 322, 172

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 240, 549, 322, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 549, 322, 172 is 1.

Therefore, GCD of numbers 240, 549, 322, 172 is 1

Given Input Data is 240, 549, 322, 172

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 172 is 2 x 2 x 43

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(240, 549) = 43920

GCD(240, 549) = ( 240 x 549 ) / 43920

GCD(240, 549) = 131760 / 43920

GCD(240, 549) = 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 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 240, 549, 322, 172 is 1

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• GCD of 289, 574, 383, 936
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1. What is the GCD of 240, 549, 322, 172?

GCD of 240, 549, 322, 172 is 1

2. Where do I get the detailed procedure to find GCD of 240, 549, 322, 172?

You can find a detailed procedure to find GCD of 240, 549, 322, 172 on our page.

3. How to find GCD of 240, 549, 322, 172 on a calculator?

You can find the GCD of 240, 549, 322, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.