GCD of 107, 408, 245, 729 Calculator

Given Input numbers are 107, 408, 245, 729

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 107, 408, 245, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 408, 245, 729 is 1.

Therefore, GCD of numbers 107, 408, 245, 729 is 1

Given Input Data is 107, 408, 245, 729

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

Prime Factorization of 107 is 107

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(107, 408) = 43656

GCD(107, 408) = ( 107 x 408 ) / 43656

GCD(107, 408) = 43656 / 43656

GCD(107, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 107, 408, 245, 729 is 1

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1. What is the GCD of 107, 408, 245, 729?

GCD of 107, 408, 245, 729 is 1

2. Where do I get the detailed procedure to find GCD of 107, 408, 245, 729?

You can find a detailed procedure to find GCD of 107, 408, 245, 729 on our page.

3. How to find GCD of 107, 408, 245, 729 on a calculator?

You can find the GCD of 107, 408, 245, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.