GCD of 461, 736, 17, 983 Calculator

Given Input numbers are 461, 736, 17, 983

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 983

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

1, 983

Greatest Common Divisior

We found the divisors of 461, 736, 17, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 736, 17, 983 is 1.

Therefore, GCD of numbers 461, 736, 17, 983 is 1

Given Input Data is 461, 736, 17, 983

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

Prime Factorization of 461 is 461

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 17 is 17

Prime Factorization of 983 is 983

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(461, 736) = 339296

GCD(461, 736) = ( 461 x 736 ) / 339296

GCD(461, 736) = 339296 / 339296

GCD(461, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 461, 736, 17, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 358, 82, 869
• GCD of 905, 400, 97, 597
• GCD of 305, 277, 86, 413
• GCD of 981, 784, 90, 306
• GCD of 767, 304, 17, 648

1. What is the GCD of 461, 736, 17, 983?

GCD of 461, 736, 17, 983 is 1

2. Where do I get the detailed procedure to find GCD of 461, 736, 17, 983?

You can find a detailed procedure to find GCD of 461, 736, 17, 983 on our page.

3. How to find GCD of 461, 736, 17, 983 on a calculator?

You can find the GCD of 461, 736, 17, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.