GCD of 518, 765, 17, 671 Calculator

Given Input numbers are 518, 765, 17, 671

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 17

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

1, 17

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 518, 765, 17, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 765, 17, 671 is 1.

Therefore, GCD of numbers 518, 765, 17, 671 is 1

Given Input Data is 518, 765, 17, 671

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 17 is 17

Prime Factorization of 671 is 11 x 61

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(518, 765) = 396270

GCD(518, 765) = ( 518 x 765 ) / 396270

GCD(518, 765) = 396270 / 396270

GCD(518, 765) = 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 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 518, 765, 17, 671 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 553, 51, 814
• GCD of 865, 944, 18, 519
• GCD of 618, 177, 74, 490
• GCD of 167, 244, 23, 141
• GCD of 257, 148, 67, 465

1. What is the GCD of 518, 765, 17, 671?

GCD of 518, 765, 17, 671 is 1

2. Where do I get the detailed procedure to find GCD of 518, 765, 17, 671?

You can find a detailed procedure to find GCD of 518, 765, 17, 671 on our page.

3. How to find GCD of 518, 765, 17, 671 on a calculator?

You can find the GCD of 518, 765, 17, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.