GCD of 682, 738, 490, 311 Calculator

Given Input numbers are 682, 738, 490, 311

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

Divisors of 682

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

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 682, 738, 490, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 738, 490, 311 is 1.

Therefore, GCD of numbers 682, 738, 490, 311 is 1

Given Input Data is 682, 738, 490, 311

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 311 is 311

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(682, 738) = 251658

GCD(682, 738) = ( 682 x 738 ) / 251658

GCD(682, 738) = 503316 / 251658

GCD(682, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 682, 738, 490, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 646, 881, 184
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1. What is the GCD of 682, 738, 490, 311?

GCD of 682, 738, 490, 311 is 1

2. Where do I get the detailed procedure to find GCD of 682, 738, 490, 311?

You can find a detailed procedure to find GCD of 682, 738, 490, 311 on our page.

3. How to find GCD of 682, 738, 490, 311 on a calculator?

You can find the GCD of 682, 738, 490, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.