GCD of 10, 226, 998, 507 Calculator

Given Input numbers are 10, 226, 998, 507

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 998

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

1, 2, 499, 998

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 10, 226, 998, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 226, 998, 507 is 1.

Therefore, GCD of numbers 10, 226, 998, 507 is 1

Given Input Data is 10, 226, 998, 507

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 226 is 2 x 113

Prime Factorization of 998 is 2 x 499

Prime Factorization of 507 is 3 x 13 x 13

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(10, 226) = 1130

GCD(10, 226) = ( 10 x 226 ) / 1130

GCD(10, 226) = 2260 / 1130

GCD(10, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

GCD of 10, 226, 998, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 730, 808, 933
• GCD of 27, 991, 905, 203
• GCD of 64, 889, 999, 199
• GCD of 68, 826, 142, 107
• GCD of 48, 123, 772, 997

1. What is the GCD of 10, 226, 998, 507?

GCD of 10, 226, 998, 507 is 1

2. Where do I get the detailed procedure to find GCD of 10, 226, 998, 507?

You can find a detailed procedure to find GCD of 10, 226, 998, 507 on our page.

3. How to find GCD of 10, 226, 998, 507 on a calculator?

You can find the GCD of 10, 226, 998, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.