GCD of 366, 408, 712, 549 Calculator

Given Input numbers are 366, 408, 712, 549

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 366, 408, 712, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 408, 712, 549 is 1.

Therefore, GCD of numbers 366, 408, 712, 549 is 1

Given Input Data is 366, 408, 712, 549

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 549 is 3 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(366, 408) = 24888

GCD(366, 408) = ( 366 x 408 ) / 24888

GCD(366, 408) = 149328 / 24888

GCD(366, 408) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 712

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

LCM(6, 712) = 2136

GCD(6, 712) = ( 6 x 712 ) / 2136

GCD(6, 712) = 4272 / 2136

GCD(6, 712) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 549

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

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

GCD(2, 549) = 1098 / 1098

GCD(2, 549) = 1

GCD of 366, 408, 712, 549 is 1

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1. What is the GCD of 366, 408, 712, 549?

GCD of 366, 408, 712, 549 is 1

2. Where do I get the detailed procedure to find GCD of 366, 408, 712, 549?

You can find a detailed procedure to find GCD of 366, 408, 712, 549 on our page.

3. How to find GCD of 366, 408, 712, 549 on a calculator?

You can find the GCD of 366, 408, 712, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.