GCD of 682, 262, 40, 729 Calculator

Given Input numbers are 682, 262, 40, 729

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 682, 262, 40, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 262, 40, 729 is 1.

Therefore, GCD of numbers 682, 262, 40, 729 is 1

Given Input Data is 682, 262, 40, 729

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 262 is 2 x 131

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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, 262) = 89342

GCD(682, 262) = ( 682 x 262 ) / 89342

GCD(682, 262) = 178684 / 89342

GCD(682, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

GCD of 682, 262, 40, 729 is 1

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1. What is the GCD of 682, 262, 40, 729?

GCD of 682, 262, 40, 729 is 1

2. Where do I get the detailed procedure to find GCD of 682, 262, 40, 729?

You can find a detailed procedure to find GCD of 682, 262, 40, 729 on our page.

3. How to find GCD of 682, 262, 40, 729 on a calculator?

You can find the GCD of 682, 262, 40, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.