GCD of 898, 581, 49, 205 Calculator

Given Input numbers are 898, 581, 49, 205

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

Divisors of 898

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

1, 2, 449, 898

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 898, 581, 49, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 581, 49, 205 is 1.

Therefore, GCD of numbers 898, 581, 49, 205 is 1

Given Input Data is 898, 581, 49, 205

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 581 is 7 x 83

Prime Factorization of 49 is 7 x 7

Prime Factorization of 205 is 5 x 41

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(898, 581) = 521738

GCD(898, 581) = ( 898 x 581 ) / 521738

GCD(898, 581) = 521738 / 521738

GCD(898, 581) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 898, 581, 49, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 757, 52, 874
• GCD of 245, 119, 54, 455
• GCD of 312, 305, 11, 775
• GCD of 288, 498, 23, 540
• GCD of 652, 562, 72, 595

1. What is the GCD of 898, 581, 49, 205?

GCD of 898, 581, 49, 205 is 1

2. Where do I get the detailed procedure to find GCD of 898, 581, 49, 205?

You can find a detailed procedure to find GCD of 898, 581, 49, 205 on our page.

3. How to find GCD of 898, 581, 49, 205 on a calculator?

You can find the GCD of 898, 581, 49, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.