GCD of 986, 516, 826, 835 Calculator

Given Input numbers are 986, 516, 826, 835

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 986, 516, 826, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 516, 826, 835 is 1.

Therefore, GCD of numbers 986, 516, 826, 835 is 1

Given Input Data is 986, 516, 826, 835

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 835 is 5 x 167

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(986, 516) = 254388

GCD(986, 516) = ( 986 x 516 ) / 254388

GCD(986, 516) = 508776 / 254388

GCD(986, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

GCD of 986, 516, 826, 835 is 1

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1. What is the GCD of 986, 516, 826, 835?

GCD of 986, 516, 826, 835 is 1

2. Where do I get the detailed procedure to find GCD of 986, 516, 826, 835?

You can find a detailed procedure to find GCD of 986, 516, 826, 835 on our page.

3. How to find GCD of 986, 516, 826, 835 on a calculator?

You can find the GCD of 986, 516, 826, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.