GCD of 696, 102, 265, 518 Calculator

Given Input numbers are 696, 102, 265, 518

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 696, 102, 265, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 102, 265, 518 is 1.

Therefore, GCD of numbers 696, 102, 265, 518 is 1

Given Input Data is 696, 102, 265, 518

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 265 is 5 x 53

Prime Factorization of 518 is 2 x 7 x 37

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(696, 102) = 11832

GCD(696, 102) = ( 696 x 102 ) / 11832

GCD(696, 102) = 70992 / 11832

GCD(696, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 265

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

LCM(6, 265) = 1590

GCD(6, 265) = ( 6 x 265 ) / 1590

GCD(6, 265) = 1590 / 1590

GCD(6, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 696, 102, 265, 518 is 1

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1. What is the GCD of 696, 102, 265, 518?

GCD of 696, 102, 265, 518 is 1

2. Where do I get the detailed procedure to find GCD of 696, 102, 265, 518?

You can find a detailed procedure to find GCD of 696, 102, 265, 518 on our page.

3. How to find GCD of 696, 102, 265, 518 on a calculator?

You can find the GCD of 696, 102, 265, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.