GCD of 901, 815, 89, 998 Calculator

Given Input numbers are 901, 815, 89, 998

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 901, 815, 89, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 815, 89, 998 is 1.

Therefore, GCD of numbers 901, 815, 89, 998 is 1

Given Input Data is 901, 815, 89, 998

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 815 is 5 x 163

Prime Factorization of 89 is 89

Prime Factorization of 998 is 2 x 499

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(901, 815) = 734315

GCD(901, 815) = ( 901 x 815 ) / 734315

GCD(901, 815) = 734315 / 734315

GCD(901, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 901, 815, 89, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 234, 66, 678
• GCD of 904, 475, 56, 831
• GCD of 501, 539, 32, 929
• GCD of 906, 863, 45, 619
• GCD of 710, 984, 92, 570

1. What is the GCD of 901, 815, 89, 998?

GCD of 901, 815, 89, 998 is 1

2. Where do I get the detailed procedure to find GCD of 901, 815, 89, 998?

You can find a detailed procedure to find GCD of 901, 815, 89, 998 on our page.

3. How to find GCD of 901, 815, 89, 998 on a calculator?

You can find the GCD of 901, 815, 89, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.