GCD of 366, 954, 99, 717 Calculator

Given Input numbers are 366, 954, 99, 717

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

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 366, 954, 99, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 954, 99, 717 is 3.

Therefore, GCD of numbers 366, 954, 99, 717 is 3

Given Input Data is 366, 954, 99, 717

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 717 is 3 x 239

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(366, 954) = 58194

GCD(366, 954) = ( 366 x 954 ) / 58194

GCD(366, 954) = 349164 / 58194

GCD(366, 954) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 99

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

LCM(6, 99) = 198

GCD(6, 99) = ( 6 x 99 ) / 198

GCD(6, 99) = 594 / 198

GCD(6, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

GCD of 366, 954, 99, 717 is 3

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1. What is the GCD of 366, 954, 99, 717?

GCD of 366, 954, 99, 717 is 3

2. Where do I get the detailed procedure to find GCD of 366, 954, 99, 717?

You can find a detailed procedure to find GCD of 366, 954, 99, 717 on our page.

3. How to find GCD of 366, 954, 99, 717 on a calculator?

You can find the GCD of 366, 954, 99, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.