GCD of 898, 617, 10, 404 Calculator

Given Input numbers are 898, 617, 10, 404

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 898, 617, 10, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 617, 10, 404 is 1.

Therefore, GCD of numbers 898, 617, 10, 404 is 1

Given Input Data is 898, 617, 10, 404

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 617 is 617

Prime Factorization of 10 is 2 x 5

Prime Factorization of 404 is 2 x 2 x 101

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, 617) = 554066

GCD(898, 617) = ( 898 x 617 ) / 554066

GCD(898, 617) = 554066 / 554066

GCD(898, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 898, 617, 10, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 734, 43, 510
• GCD of 609, 133, 10, 475
• GCD of 332, 591, 31, 547
• GCD of 906, 435, 87, 651
• GCD of 765, 649, 87, 761

1. What is the GCD of 898, 617, 10, 404?

GCD of 898, 617, 10, 404 is 1

2. Where do I get the detailed procedure to find GCD of 898, 617, 10, 404?

You can find a detailed procedure to find GCD of 898, 617, 10, 404 on our page.

3. How to find GCD of 898, 617, 10, 404 on a calculator?

You can find the GCD of 898, 617, 10, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.