GCD of 497, 194, 245, 504 Calculator

Given Input numbers are 497, 194, 245, 504

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 497, 194, 245, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 194, 245, 504 is 1.

Therefore, GCD of numbers 497, 194, 245, 504 is 1

Given Input Data is 497, 194, 245, 504

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 194 is 2 x 97

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 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(497, 194) = 96418

GCD(497, 194) = ( 497 x 194 ) / 96418

GCD(497, 194) = 96418 / 96418

GCD(497, 194) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 497, 194, 245, 504 is 1

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1. What is the GCD of 497, 194, 245, 504?

GCD of 497, 194, 245, 504 is 1

2. Where do I get the detailed procedure to find GCD of 497, 194, 245, 504?

You can find a detailed procedure to find GCD of 497, 194, 245, 504 on our page.

3. How to find GCD of 497, 194, 245, 504 on a calculator?

You can find the GCD of 497, 194, 245, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.