GCD of 245, 210, 640, 729 Calculator

Given Input numbers are 245, 210, 640, 729

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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 245, 210, 640, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 210, 640, 729 is 1.

Therefore, GCD of numbers 245, 210, 640, 729 is 1

Given Input Data is 245, 210, 640, 729

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 210 is 2 x 3 x 5 x 7

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(245, 210) = 1470

GCD(245, 210) = ( 245 x 210 ) / 1470

GCD(245, 210) = 51450 / 1470

GCD(245, 210) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 640

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

LCM(35, 640) = 4480

GCD(35, 640) = ( 35 x 640 ) / 4480

GCD(35, 640) = 22400 / 4480

GCD(35, 640) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 729

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

LCM(5, 729) = 3645

GCD(5, 729) = ( 5 x 729 ) / 3645

GCD(5, 729) = 3645 / 3645

GCD(5, 729) = 1

GCD of 245, 210, 640, 729 is 1

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1. What is the GCD of 245, 210, 640, 729?

GCD of 245, 210, 640, 729 is 1

2. Where do I get the detailed procedure to find GCD of 245, 210, 640, 729?

You can find a detailed procedure to find GCD of 245, 210, 640, 729 on our page.

3. How to find GCD of 245, 210, 640, 729 on a calculator?

You can find the GCD of 245, 210, 640, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.