GCD of 78, 8, 90, 58 Calculator

Given Input numbers are 78, 8, 90, 58

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

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 78, 8, 90, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 8, 90, 58 is 2.

Therefore, GCD of numbers 78, 8, 90, 58 is 2

Given Input Data is 78, 8, 90, 58

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(78, 8) = 312

GCD(78, 8) = ( 78 x 8 ) / 312

GCD(78, 8) = 624 / 312

GCD(78, 8) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 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 78, 8, 90, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 1, 44, 79
• GCD of 40, 1, 49, 58
• GCD of 72, 9, 44, 15
• GCD of 31, 3, 46, 74
• GCD of 92, 6, 78, 51

1. What is the GCD of 78, 8, 90, 58?

GCD of 78, 8, 90, 58 is 2

2. Where do I get the detailed procedure to find GCD of 78, 8, 90, 58?

You can find a detailed procedure to find GCD of 78, 8, 90, 58 on our page.

3. How to find GCD of 78, 8, 90, 58 on a calculator?

You can find the GCD of 78, 8, 90, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.