GCD of 13, 225, 998, 926 Calculator

Given Input numbers are 13, 225, 998, 926

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 998

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

1, 2, 499, 998

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 13, 225, 998, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 225, 998, 926 is 1.

Therefore, GCD of numbers 13, 225, 998, 926 is 1

Given Input Data is 13, 225, 998, 926

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

Prime Factorization of 13 is 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 998 is 2 x 499

Prime Factorization of 926 is 2 x 463

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(13, 225) = 2925

GCD(13, 225) = ( 13 x 225 ) / 2925

GCD(13, 225) = 2925 / 2925

GCD(13, 225) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 13, 225, 998, 926 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 701, 469, 819
• GCD of 23, 151, 606, 838
• GCD of 93, 793, 887, 450
• GCD of 37, 926, 981, 690
• GCD of 17, 360, 530, 933

1. What is the GCD of 13, 225, 998, 926?

GCD of 13, 225, 998, 926 is 1

2. Where do I get the detailed procedure to find GCD of 13, 225, 998, 926?

You can find a detailed procedure to find GCD of 13, 225, 998, 926 on our page.

3. How to find GCD of 13, 225, 998, 926 on a calculator?

You can find the GCD of 13, 225, 998, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.