GCD of 298, 576, 649, 898 Calculator

Given Input numbers are 298, 576, 649, 898

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 298, 576, 649, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 576, 649, 898 is 1.

Therefore, GCD of numbers 298, 576, 649, 898 is 1

Given Input Data is 298, 576, 649, 898

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 649 is 11 x 59

Prime Factorization of 898 is 2 x 449

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(298, 576) = 85824

GCD(298, 576) = ( 298 x 576 ) / 85824

GCD(298, 576) = 171648 / 85824

GCD(298, 576) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 298, 576, 649, 898 is 1

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1. What is the GCD of 298, 576, 649, 898?

GCD of 298, 576, 649, 898 is 1

2. Where do I get the detailed procedure to find GCD of 298, 576, 649, 898?

You can find a detailed procedure to find GCD of 298, 576, 649, 898 on our page.

3. How to find GCD of 298, 576, 649, 898 on a calculator?

You can find the GCD of 298, 576, 649, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.