GCD of 245, 682, 413, 768 Calculator

Given Input numbers are 245, 682, 413, 768

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 245, 682, 413, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 682, 413, 768 is 1.

Therefore, GCD of numbers 245, 682, 413, 768 is 1

Given Input Data is 245, 682, 413, 768

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 682 is 2 x 11 x 31

Prime Factorization of 413 is 7 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 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, 682) = 167090

GCD(245, 682) = ( 245 x 682 ) / 167090

GCD(245, 682) = 167090 / 167090

GCD(245, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 245, 682, 413, 768 is 1

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1. What is the GCD of 245, 682, 413, 768?

GCD of 245, 682, 413, 768 is 1

2. Where do I get the detailed procedure to find GCD of 245, 682, 413, 768?

You can find a detailed procedure to find GCD of 245, 682, 413, 768 on our page.

3. How to find GCD of 245, 682, 413, 768 on a calculator?

You can find the GCD of 245, 682, 413, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.