GCD of 170, 986, 838, 340 Calculator

Given Input numbers are 170, 986, 838, 340

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

Divisors of 170

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

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

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 170, 986, 838, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 986, 838, 340 is 2.

Therefore, GCD of numbers 170, 986, 838, 340 is 2

Given Input Data is 170, 986, 838, 340

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 838 is 2 x 419

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(170, 986) = 4930

GCD(170, 986) = ( 170 x 986 ) / 4930

GCD(170, 986) = 167620 / 4930

GCD(170, 986) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 838

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

LCM(34, 838) = 14246

GCD(34, 838) = ( 34 x 838 ) / 14246

GCD(34, 838) = 28492 / 14246

GCD(34, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 170, 986, 838, 340 is 2

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1. What is the GCD of 170, 986, 838, 340?

GCD of 170, 986, 838, 340 is 2

2. Where do I get the detailed procedure to find GCD of 170, 986, 838, 340?

You can find a detailed procedure to find GCD of 170, 986, 838, 340 on our page.

3. How to find GCD of 170, 986, 838, 340 on a calculator?

You can find the GCD of 170, 986, 838, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.