GCD of 990, 175, 366, 727 Calculator

Given Input numbers are 990, 175, 366, 727

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 990, 175, 366, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 175, 366, 727 is 1.

Therefore, GCD of numbers 990, 175, 366, 727 is 1

Given Input Data is 990, 175, 366, 727

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 727 is 727

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(990, 175) = 34650

GCD(990, 175) = ( 990 x 175 ) / 34650

GCD(990, 175) = 173250 / 34650

GCD(990, 175) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 366

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

LCM(5, 366) = 1830

GCD(5, 366) = ( 5 x 366 ) / 1830

GCD(5, 366) = 1830 / 1830

GCD(5, 366) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 990, 175, 366, 727 is 1

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1. What is the GCD of 990, 175, 366, 727?

GCD of 990, 175, 366, 727 is 1

2. Where do I get the detailed procedure to find GCD of 990, 175, 366, 727?

You can find a detailed procedure to find GCD of 990, 175, 366, 727 on our page.

3. How to find GCD of 990, 175, 366, 727 on a calculator?

You can find the GCD of 990, 175, 366, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.