GCD of 783, 468, 506, 245 Calculator

Given Input numbers are 783, 468, 506, 245

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 783, 468, 506, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 468, 506, 245 is 1.

Therefore, GCD of numbers 783, 468, 506, 245 is 1

Given Input Data is 783, 468, 506, 245

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 506 is 2 x 11 x 23

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(783, 468) = 40716

GCD(783, 468) = ( 783 x 468 ) / 40716

GCD(783, 468) = 366444 / 40716

GCD(783, 468) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 506

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

LCM(9, 506) = 4554

GCD(9, 506) = ( 9 x 506 ) / 4554

GCD(9, 506) = 4554 / 4554

GCD(9, 506) = 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 783, 468, 506, 245 is 1

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1. What is the GCD of 783, 468, 506, 245?

GCD of 783, 468, 506, 245 is 1

2. Where do I get the detailed procedure to find GCD of 783, 468, 506, 245?

You can find a detailed procedure to find GCD of 783, 468, 506, 245 on our page.

3. How to find GCD of 783, 468, 506, 245 on a calculator?

You can find the GCD of 783, 468, 506, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.