GCD of 845, 682, 217, 699 Calculator

Given Input numbers are 845, 682, 217, 699

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 845, 682, 217, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 682, 217, 699 is 1.

Therefore, GCD of numbers 845, 682, 217, 699 is 1

Given Input Data is 845, 682, 217, 699

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 217 is 7 x 31

Prime Factorization of 699 is 3 x 233

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(845, 682) = 576290

GCD(845, 682) = ( 845 x 682 ) / 576290

GCD(845, 682) = 576290 / 576290

GCD(845, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 845, 682, 217, 699 is 1

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1. What is the GCD of 845, 682, 217, 699?

GCD of 845, 682, 217, 699 is 1

2. Where do I get the detailed procedure to find GCD of 845, 682, 217, 699?

You can find a detailed procedure to find GCD of 845, 682, 217, 699 on our page.

3. How to find GCD of 845, 682, 217, 699 on a calculator?

You can find the GCD of 845, 682, 217, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.