GCD of 313, 358, 73, 680 Calculator

Given Input numbers are 313, 358, 73, 680

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 313, 358, 73, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 358, 73, 680 is 1.

Therefore, GCD of numbers 313, 358, 73, 680 is 1

Given Input Data is 313, 358, 73, 680

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

Prime Factorization of 313 is 313

Prime Factorization of 358 is 2 x 179

Prime Factorization of 73 is 73

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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, 358) = 112054

GCD(313, 358) = ( 313 x 358 ) / 112054

GCD(313, 358) = 112054 / 112054

GCD(313, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 313, 358, 73, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 877, 12, 921
• GCD of 513, 905, 44, 421
• GCD of 249, 215, 99, 708
• GCD of 296, 736, 46, 709
• GCD of 534, 981, 19, 236

1. What is the GCD of 313, 358, 73, 680?

GCD of 313, 358, 73, 680 is 1

2. Where do I get the detailed procedure to find GCD of 313, 358, 73, 680?

You can find a detailed procedure to find GCD of 313, 358, 73, 680 on our page.

3. How to find GCD of 313, 358, 73, 680 on a calculator?

You can find the GCD of 313, 358, 73, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.