GCD of 696, 313, 649, 361 Calculator

Given Input numbers are 696, 313, 649, 361

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 696, 313, 649, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 313, 649, 361 is 1.

Therefore, GCD of numbers 696, 313, 649, 361 is 1

Given Input Data is 696, 313, 649, 361

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 313 is 313

Prime Factorization of 649 is 11 x 59

Prime Factorization of 361 is 19 x 19

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, 313) = 217848

GCD(696, 313) = ( 696 x 313 ) / 217848

GCD(696, 313) = 217848 / 217848

GCD(696, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 696, 313, 649, 361 is 1

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• GCD of 818, 260, 493, 713
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1. What is the GCD of 696, 313, 649, 361?

GCD of 696, 313, 649, 361 is 1

2. Where do I get the detailed procedure to find GCD of 696, 313, 649, 361?

You can find a detailed procedure to find GCD of 696, 313, 649, 361 on our page.

3. How to find GCD of 696, 313, 649, 361 on a calculator?

You can find the GCD of 696, 313, 649, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.