GCD of 682, 661, 20, 318 Calculator

Given Input numbers are 682, 661, 20, 318

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 682, 661, 20, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 661, 20, 318 is 1.

Therefore, GCD of numbers 682, 661, 20, 318 is 1

Given Input Data is 682, 661, 20, 318

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 661 is 661

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 318 is 2 x 3 x 53

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, 661) = 450802

GCD(682, 661) = ( 682 x 661 ) / 450802

GCD(682, 661) = 450802 / 450802

GCD(682, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 682, 661, 20, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 612, 72, 193
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• GCD of 361, 112, 82, 811
• GCD of 775, 341, 46, 805
• GCD of 820, 301, 18, 903

1. What is the GCD of 682, 661, 20, 318?

GCD of 682, 661, 20, 318 is 1

2. Where do I get the detailed procedure to find GCD of 682, 661, 20, 318?

You can find a detailed procedure to find GCD of 682, 661, 20, 318 on our page.

3. How to find GCD of 682, 661, 20, 318 on a calculator?

You can find the GCD of 682, 661, 20, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.