GCD of 18, 34, 86, 58 Calculator

Given Input numbers are 18, 34, 86, 58

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 18, 34, 86, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 34, 86, 58 is 2.

Therefore, GCD of numbers 18, 34, 86, 58 is 2

Given Input Data is 18, 34, 86, 58

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 34 is 2 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 58 is 2 x 29

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(18, 34) = 306

GCD(18, 34) = ( 18 x 34 ) / 306

GCD(18, 34) = 612 / 306

GCD(18, 34) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

GCD of 18, 34, 86, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 72, 42, 32
• GCD of 18, 54, 24, 31
• GCD of 46, 88, 31, 55
• GCD of 43, 82, 73, 21
• GCD of 43, 38, 11, 75

1. What is the GCD of 18, 34, 86, 58?

GCD of 18, 34, 86, 58 is 2

2. Where do I get the detailed procedure to find GCD of 18, 34, 86, 58?

You can find a detailed procedure to find GCD of 18, 34, 86, 58 on our page.

3. How to find GCD of 18, 34, 86, 58 on a calculator?

You can find the GCD of 18, 34, 86, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.