GCD of 870, 328, 78, 218 Calculator

Given Input numbers are 870, 328, 78, 218

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

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 870, 328, 78, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 328, 78, 218 is 2.

Therefore, GCD of numbers 870, 328, 78, 218 is 2

Given Input Data is 870, 328, 78, 218

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

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 218 is 2 x 109

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(870, 328) = 142680

GCD(870, 328) = ( 870 x 328 ) / 142680

GCD(870, 328) = 285360 / 142680

GCD(870, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

GCD of 870, 328, 78, 218 is 2

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1. What is the GCD of 870, 328, 78, 218?

GCD of 870, 328, 78, 218 is 2

2. Where do I get the detailed procedure to find GCD of 870, 328, 78, 218?

You can find a detailed procedure to find GCD of 870, 328, 78, 218 on our page.

3. How to find GCD of 870, 328, 78, 218 on a calculator?

You can find the GCD of 870, 328, 78, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.