GCD of 98, 730, 500, 115 Calculator

Given Input numbers are 98, 730, 500, 115

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 98, 730, 500, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 730, 500, 115 is 1.

Therefore, GCD of numbers 98, 730, 500, 115 is 1

Given Input Data is 98, 730, 500, 115

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 115 is 5 x 23

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(98, 730) = 35770

GCD(98, 730) = ( 98 x 730 ) / 35770

GCD(98, 730) = 71540 / 35770

GCD(98, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 115

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

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

GCD(2, 115) = 230 / 230

GCD(2, 115) = 1

GCD of 98, 730, 500, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 878, 671, 115
• GCD of 88, 617, 299, 950
• GCD of 25, 162, 152, 463
• GCD of 40, 903, 767, 802
• GCD of 16, 119, 738, 322

1. What is the GCD of 98, 730, 500, 115?

GCD of 98, 730, 500, 115 is 1

2. Where do I get the detailed procedure to find GCD of 98, 730, 500, 115?

You can find a detailed procedure to find GCD of 98, 730, 500, 115 on our page.

3. How to find GCD of 98, 730, 500, 115 on a calculator?

You can find the GCD of 98, 730, 500, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.