GCD of 983, 953, 15, 298 Calculator

Given Input numbers are 983, 953, 15, 298

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 983, 953, 15, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 953, 15, 298 is 1.

Therefore, GCD of numbers 983, 953, 15, 298 is 1

Given Input Data is 983, 953, 15, 298

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

Prime Factorization of 983 is 983

Prime Factorization of 953 is 953

Prime Factorization of 15 is 3 x 5

Prime Factorization of 298 is 2 x 149

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(983, 953) = 936799

GCD(983, 953) = ( 983 x 953 ) / 936799

GCD(983, 953) = 936799 / 936799

GCD(983, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 983, 953, 15, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 359, 74, 100
• GCD of 926, 729, 41, 174
• GCD of 236, 521, 89, 328
• GCD of 202, 312, 91, 507
• GCD of 256, 703, 85, 308

1. What is the GCD of 983, 953, 15, 298?

GCD of 983, 953, 15, 298 is 1

2. Where do I get the detailed procedure to find GCD of 983, 953, 15, 298?

You can find a detailed procedure to find GCD of 983, 953, 15, 298 on our page.

3. How to find GCD of 983, 953, 15, 298 on a calculator?

You can find the GCD of 983, 953, 15, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.