GCD of 472, 729, 100, 245 Calculator

Given Input numbers are 472, 729, 100, 245

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 729

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

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 245

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

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 472, 729, 100, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 729, 100, 245 is 1.

Therefore, GCD of numbers 472, 729, 100, 245 is 1

Given Input Data is 472, 729, 100, 245

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 245 is 5 x 7 x 7

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(472, 729) = 344088

GCD(472, 729) = ( 472 x 729 ) / 344088

GCD(472, 729) = 344088 / 344088

GCD(472, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

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

GCD of 472, 729, 100, 245 is 1

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1. What is the GCD of 472, 729, 100, 245?

GCD of 472, 729, 100, 245 is 1

2. Where do I get the detailed procedure to find GCD of 472, 729, 100, 245?

You can find a detailed procedure to find GCD of 472, 729, 100, 245 on our page.

3. How to find GCD of 472, 729, 100, 245 on a calculator?

You can find the GCD of 472, 729, 100, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.