GCD of 685, 715, 680, 336 Calculator

Given Input numbers are 685, 715, 680, 336

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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 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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 685, 715, 680, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 715, 680, 336 is 1.

Therefore, GCD of numbers 685, 715, 680, 336 is 1

Given Input Data is 685, 715, 680, 336

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(685, 715) = 97955

GCD(685, 715) = ( 685 x 715 ) / 97955

GCD(685, 715) = 489775 / 97955

GCD(685, 715) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 680

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

LCM(5, 680) = 680

GCD(5, 680) = ( 5 x 680 ) / 680

GCD(5, 680) = 3400 / 680

GCD(5, 680) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 336

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

LCM(5, 336) = 1680

GCD(5, 336) = ( 5 x 336 ) / 1680

GCD(5, 336) = 1680 / 1680

GCD(5, 336) = 1

GCD of 685, 715, 680, 336 is 1

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1. What is the GCD of 685, 715, 680, 336?

GCD of 685, 715, 680, 336 is 1

2. Where do I get the detailed procedure to find GCD of 685, 715, 680, 336?

You can find a detailed procedure to find GCD of 685, 715, 680, 336 on our page.

3. How to find GCD of 685, 715, 680, 336 on a calculator?

You can find the GCD of 685, 715, 680, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.