GCD of 166, 986, 391, 786 Calculator

Given Input numbers are 166, 986, 391, 786

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 166, 986, 391, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 986, 391, 786 is 1.

Therefore, GCD of numbers 166, 986, 391, 786 is 1

Given Input Data is 166, 986, 391, 786

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 391 is 17 x 23

Prime Factorization of 786 is 2 x 3 x 131

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(166, 986) = 81838

GCD(166, 986) = ( 166 x 986 ) / 81838

GCD(166, 986) = 163676 / 81838

GCD(166, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 391

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

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

GCD(2, 391) = 782 / 782

GCD(2, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 166, 986, 391, 786 is 1

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1. What is the GCD of 166, 986, 391, 786?

GCD of 166, 986, 391, 786 is 1

2. Where do I get the detailed procedure to find GCD of 166, 986, 391, 786?

You can find a detailed procedure to find GCD of 166, 986, 391, 786 on our page.

3. How to find GCD of 166, 986, 391, 786 on a calculator?

You can find the GCD of 166, 986, 391, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.