GCD of 99, 342, 785, 366 Calculator

Given Input numbers are 99, 342, 785, 366

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 366

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

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

Greatest Common Divisior

We found the divisors of 99, 342, 785, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 342, 785, 366 is 1.

Therefore, GCD of numbers 99, 342, 785, 366 is 1

Given Input Data is 99, 342, 785, 366

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 785 is 5 x 157

Prime Factorization of 366 is 2 x 3 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(99, 342) = 3762

GCD(99, 342) = ( 99 x 342 ) / 3762

GCD(99, 342) = 33858 / 3762

GCD(99, 342) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 785

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

LCM(9, 785) = 7065

GCD(9, 785) = ( 9 x 785 ) / 7065

GCD(9, 785) = 7065 / 7065

GCD(9, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 99, 342, 785, 366 is 1

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• GCD of 30, 647, 904, 764
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1. What is the GCD of 99, 342, 785, 366?

GCD of 99, 342, 785, 366 is 1

2. Where do I get the detailed procedure to find GCD of 99, 342, 785, 366?

You can find a detailed procedure to find GCD of 99, 342, 785, 366 on our page.

3. How to find GCD of 99, 342, 785, 366 on a calculator?

You can find the GCD of 99, 342, 785, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.