GCD of 705, 613, 17, 721 Calculator

Given Input numbers are 705, 613, 17, 721

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 17

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

1, 17

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 705, 613, 17, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 613, 17, 721 is 1.

Therefore, GCD of numbers 705, 613, 17, 721 is 1

Given Input Data is 705, 613, 17, 721

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 613 is 613

Prime Factorization of 17 is 17

Prime Factorization of 721 is 7 x 103

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(705, 613) = 432165

GCD(705, 613) = ( 705 x 613 ) / 432165

GCD(705, 613) = 432165 / 432165

GCD(705, 613) = 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 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 705, 613, 17, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 186, 44, 813
• GCD of 101, 465, 80, 516
• GCD of 145, 102, 61, 534
• GCD of 829, 401, 57, 877
• GCD of 134, 416, 82, 834

1. What is the GCD of 705, 613, 17, 721?

GCD of 705, 613, 17, 721 is 1

2. Where do I get the detailed procedure to find GCD of 705, 613, 17, 721?

You can find a detailed procedure to find GCD of 705, 613, 17, 721 on our page.

3. How to find GCD of 705, 613, 17, 721 on a calculator?

You can find the GCD of 705, 613, 17, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.