GCD of 841, 728, 68, 170 Calculator

Given Input numbers are 841, 728, 68, 170

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

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 841, 728, 68, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 728, 68, 170 is 1.

Therefore, GCD of numbers 841, 728, 68, 170 is 1

Given Input Data is 841, 728, 68, 170

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

Prime Factorization of 841 is 29 x 29

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 170 is 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(841, 728) = 612248

GCD(841, 728) = ( 841 x 728 ) / 612248

GCD(841, 728) = 612248 / 612248

GCD(841, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 841, 728, 68, 170 is 1

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1. What is the GCD of 841, 728, 68, 170?

GCD of 841, 728, 68, 170 is 1

2. Where do I get the detailed procedure to find GCD of 841, 728, 68, 170?

You can find a detailed procedure to find GCD of 841, 728, 68, 170 on our page.

3. How to find GCD of 841, 728, 68, 170 on a calculator?

You can find the GCD of 841, 728, 68, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.