GCD of 245, 315, 36, 728 Calculator

Given Input numbers are 245, 315, 36, 728

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

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 245, 315, 36, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 315, 36, 728 is 1.

Therefore, GCD of numbers 245, 315, 36, 728 is 1

Given Input Data is 245, 315, 36, 728

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(245, 315) = 2205

GCD(245, 315) = ( 245 x 315 ) / 2205

GCD(245, 315) = 77175 / 2205

GCD(245, 315) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 36

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

LCM(35, 36) = 1260

GCD(35, 36) = ( 35 x 36 ) / 1260

GCD(35, 36) = 1260 / 1260

GCD(35, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 245, 315, 36, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 685, 41, 706
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• GCD of 979, 985, 34, 820
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• GCD of 851, 686, 47, 653

1. What is the GCD of 245, 315, 36, 728?

GCD of 245, 315, 36, 728 is 1

2. Where do I get the detailed procedure to find GCD of 245, 315, 36, 728?

You can find a detailed procedure to find GCD of 245, 315, 36, 728 on our page.

3. How to find GCD of 245, 315, 36, 728 on a calculator?

You can find the GCD of 245, 315, 36, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.