GCD of 314, 170, 890 Calculator

Given Input numbers are 314, 170, 890

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 314, 170, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 170, 890 is 2.

Therefore, GCD of numbers 314, 170, 890 is 2

Given Input Data is 314, 170, 890

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 890 is 2 x 5 x 89

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(314, 170) = 26690

GCD(314, 170) = ( 314 x 170 ) / 26690

GCD(314, 170) = 53380 / 26690

GCD(314, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 314, 170, 890 is 2

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• GCD of 872, 111, 999
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1. What is the GCD of 314, 170, 890?

GCD of 314, 170, 890 is 2

2. Where do I get the detailed procedure to find GCD of 314, 170, 890?

You can find a detailed procedure to find GCD of 314, 170, 890 on our page.

3. How to find GCD of 314, 170, 890 on a calculator?

You can find the GCD of 314, 170, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.