GCD of 839, 260, 46, 698 Calculator

Given Input numbers are 839, 260, 46, 698

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 839, 260, 46, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 260, 46, 698 is 1.

Therefore, GCD of numbers 839, 260, 46, 698 is 1

Given Input Data is 839, 260, 46, 698

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

Prime Factorization of 839 is 839

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 46 is 2 x 23

Prime Factorization of 698 is 2 x 349

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(839, 260) = 218140

GCD(839, 260) = ( 839 x 260 ) / 218140

GCD(839, 260) = 218140 / 218140

GCD(839, 260) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 839, 260, 46, 698 is 1

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1. What is the GCD of 839, 260, 46, 698?

GCD of 839, 260, 46, 698 is 1

2. Where do I get the detailed procedure to find GCD of 839, 260, 46, 698?

You can find a detailed procedure to find GCD of 839, 260, 46, 698 on our page.

3. How to find GCD of 839, 260, 46, 698 on a calculator?

You can find the GCD of 839, 260, 46, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.