GCD of 110, 574, 50, 898 Calculator

Given Input numbers are 110, 574, 50, 898

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 110, 574, 50, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 574, 50, 898 is 2.

Therefore, GCD of numbers 110, 574, 50, 898 is 2

Given Input Data is 110, 574, 50, 898

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 898 is 2 x 449

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(110, 574) = 31570

GCD(110, 574) = ( 110 x 574 ) / 31570

GCD(110, 574) = 63140 / 31570

GCD(110, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

GCD of 110, 574, 50, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 390, 41, 422
• GCD of 237, 331, 23, 808
• GCD of 133, 572, 15, 808
• GCD of 304, 293, 86, 771
• GCD of 645, 701, 60, 521

1. What is the GCD of 110, 574, 50, 898?

GCD of 110, 574, 50, 898 is 2

2. Where do I get the detailed procedure to find GCD of 110, 574, 50, 898?

You can find a detailed procedure to find GCD of 110, 574, 50, 898 on our page.

3. How to find GCD of 110, 574, 50, 898 on a calculator?

You can find the GCD of 110, 574, 50, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.