GCD of 898, 175, 900, 996 Calculator

Given Input numbers are 898, 175, 900, 996

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 898, 175, 900, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 175, 900, 996 is 1.

Therefore, GCD of numbers 898, 175, 900, 996 is 1

Given Input Data is 898, 175, 900, 996

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 175) = 157150

GCD(898, 175) = ( 898 x 175 ) / 157150

GCD(898, 175) = 157150 / 157150

GCD(898, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 898, 175, 900, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 307, 202, 867
• GCD of 934, 442, 397, 453
• GCD of 215, 612, 878, 297
• GCD of 932, 914, 153, 677
• GCD of 784, 471, 498, 245

1. What is the GCD of 898, 175, 900, 996?

GCD of 898, 175, 900, 996 is 1

2. Where do I get the detailed procedure to find GCD of 898, 175, 900, 996?

You can find a detailed procedure to find GCD of 898, 175, 900, 996 on our page.

3. How to find GCD of 898, 175, 900, 996 on a calculator?

You can find the GCD of 898, 175, 900, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.