GCD of 366, 585, 74, 110 Calculator

Given Input numbers are 366, 585, 74, 110

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 366, 585, 74, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 585, 74, 110 is 1.

Therefore, GCD of numbers 366, 585, 74, 110 is 1

Given Input Data is 366, 585, 74, 110

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 74 is 2 x 37

Prime Factorization of 110 is 2 x 5 x 11

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, 585) = 71370

GCD(366, 585) = ( 366 x 585 ) / 71370

GCD(366, 585) = 214110 / 71370

GCD(366, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 366, 585, 74, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 328, 56, 175
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• GCD of 834, 896, 59, 612

1. What is the GCD of 366, 585, 74, 110?

GCD of 366, 585, 74, 110 is 1

2. Where do I get the detailed procedure to find GCD of 366, 585, 74, 110?

You can find a detailed procedure to find GCD of 366, 585, 74, 110 on our page.

3. How to find GCD of 366, 585, 74, 110 on a calculator?

You can find the GCD of 366, 585, 74, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.