GCD of 313, 494, 684, 210 Calculator

Given Input numbers are 313, 494, 684, 210

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

Divisors of 313

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

1, 313

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 313, 494, 684, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 494, 684, 210 is 1.

Therefore, GCD of numbers 313, 494, 684, 210 is 1

Given Input Data is 313, 494, 684, 210

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

Prime Factorization of 313 is 313

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(313, 494) = 154622

GCD(313, 494) = ( 313 x 494 ) / 154622

GCD(313, 494) = 154622 / 154622

GCD(313, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 313, 494, 684, 210 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 728, 813, 458
• GCD of 103, 282, 185, 450
• GCD of 370, 662, 409, 516
• GCD of 235, 680, 825, 927
• GCD of 940, 140, 539, 885

1. What is the GCD of 313, 494, 684, 210?

GCD of 313, 494, 684, 210 is 1

2. Where do I get the detailed procedure to find GCD of 313, 494, 684, 210?

You can find a detailed procedure to find GCD of 313, 494, 684, 210 on our page.

3. How to find GCD of 313, 494, 684, 210 on a calculator?

You can find the GCD of 313, 494, 684, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.