GCD of 170, 114, 316, 390 Calculator

Given Input numbers are 170, 114, 316, 390

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 170, 114, 316, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 114, 316, 390 is 2.

Therefore, GCD of numbers 170, 114, 316, 390 is 2

Given Input Data is 170, 114, 316, 390

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 114 is 2 x 3 x 19

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 390 is 2 x 3 x 5 x 13

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, 114) = 9690

GCD(170, 114) = ( 170 x 114 ) / 9690

GCD(170, 114) = 19380 / 9690

GCD(170, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 170, 114, 316, 390 is 2

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1. What is the GCD of 170, 114, 316, 390?

GCD of 170, 114, 316, 390 is 2

2. Where do I get the detailed procedure to find GCD of 170, 114, 316, 390?

You can find a detailed procedure to find GCD of 170, 114, 316, 390 on our page.

3. How to find GCD of 170, 114, 316, 390 on a calculator?

You can find the GCD of 170, 114, 316, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.