GCD of 494, 245, 596, 896 Calculator

Given Input numbers are 494, 245, 596, 896

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 494, 245, 596, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 245, 596, 896 is 1.

Therefore, GCD of numbers 494, 245, 596, 896 is 1

Given Input Data is 494, 245, 596, 896

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(494, 245) = 121030

GCD(494, 245) = ( 494 x 245 ) / 121030

GCD(494, 245) = 121030 / 121030

GCD(494, 245) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 494, 245, 596, 896 is 1

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1. What is the GCD of 494, 245, 596, 896?

GCD of 494, 245, 596, 896 is 1

2. Where do I get the detailed procedure to find GCD of 494, 245, 596, 896?

You can find a detailed procedure to find GCD of 494, 245, 596, 896 on our page.

3. How to find GCD of 494, 245, 596, 896 on a calculator?

You can find the GCD of 494, 245, 596, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.