GCD of 313, 838, 726, 682 Calculator

Given Input numbers are 313, 838, 726, 682

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 313, 838, 726, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 838, 726, 682 is 1.

Therefore, GCD of numbers 313, 838, 726, 682 is 1

Given Input Data is 313, 838, 726, 682

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

Prime Factorization of 313 is 313

Prime Factorization of 838 is 2 x 419

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 682 is 2 x 11 x 31

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, 838) = 262294

GCD(313, 838) = ( 313 x 838 ) / 262294

GCD(313, 838) = 262294 / 262294

GCD(313, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 313, 838, 726, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 847, 887, 634
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• GCD of 977, 711, 961, 817
• GCD of 520, 341, 731, 873

1. What is the GCD of 313, 838, 726, 682?

GCD of 313, 838, 726, 682 is 1

2. Where do I get the detailed procedure to find GCD of 313, 838, 726, 682?

You can find a detailed procedure to find GCD of 313, 838, 726, 682 on our page.

3. How to find GCD of 313, 838, 726, 682 on a calculator?

You can find the GCD of 313, 838, 726, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.