GCD of 114, 339, 870 Calculator

Given Input numbers are 114, 339, 870

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

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 114, 339, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 339, 870 is 3.

Therefore, GCD of numbers 114, 339, 870 is 3

Given Input Data is 114, 339, 870

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 339 is 3 x 113

Prime Factorization of 870 is 2 x 3 x 5 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(114, 339) = 12882

GCD(114, 339) = ( 114 x 339 ) / 12882

GCD(114, 339) = 38646 / 12882

GCD(114, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 870

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

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

GCD(3, 870) = 2610 / 870

GCD(3, 870) = 3

GCD of 114, 339, 870 is 3

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1. What is the GCD of 114, 339, 870?

GCD of 114, 339, 870 is 3

2. Where do I get the detailed procedure to find GCD of 114, 339, 870?

You can find a detailed procedure to find GCD of 114, 339, 870 on our page.

3. How to find GCD of 114, 339, 870 on a calculator?

You can find the GCD of 114, 339, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.