GCD of 366, 292, 164, 109 Calculator

Given Input numbers are 366, 292, 164, 109

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 366, 292, 164, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 292, 164, 109 is 1.

Therefore, GCD of numbers 366, 292, 164, 109 is 1

Given Input Data is 366, 292, 164, 109

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 292 is 2 x 2 x 73

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 109 is 109

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(366, 292) = 53436

GCD(366, 292) = ( 366 x 292 ) / 53436

GCD(366, 292) = 106872 / 53436

GCD(366, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 366, 292, 164, 109 is 1

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1. What is the GCD of 366, 292, 164, 109?

GCD of 366, 292, 164, 109 is 1

2. Where do I get the detailed procedure to find GCD of 366, 292, 164, 109?

You can find a detailed procedure to find GCD of 366, 292, 164, 109 on our page.

3. How to find GCD of 366, 292, 164, 109 on a calculator?

You can find the GCD of 366, 292, 164, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.