GCD of 806, 715, 802, 680 Calculator

Given Input numbers are 806, 715, 802, 680

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 806, 715, 802, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 715, 802, 680 is 1.

Therefore, GCD of numbers 806, 715, 802, 680 is 1

Given Input Data is 806, 715, 802, 680

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 802 is 2 x 401

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(806, 715) = 44330

GCD(806, 715) = ( 806 x 715 ) / 44330

GCD(806, 715) = 576290 / 44330

GCD(806, 715) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 802

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

LCM(13, 802) = 10426

GCD(13, 802) = ( 13 x 802 ) / 10426

GCD(13, 802) = 10426 / 10426

GCD(13, 802) = 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 806, 715, 802, 680 is 1

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1. What is the GCD of 806, 715, 802, 680?

GCD of 806, 715, 802, 680 is 1

2. Where do I get the detailed procedure to find GCD of 806, 715, 802, 680?

You can find a detailed procedure to find GCD of 806, 715, 802, 680 on our page.

3. How to find GCD of 806, 715, 802, 680 on a calculator?

You can find the GCD of 806, 715, 802, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.