GCD of 78, 34, 86, 16 Calculator

Given Input numbers are 78, 34, 86, 16

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 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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 78, 34, 86, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 34, 86, 16 is 2.

Therefore, GCD of numbers 78, 34, 86, 16 is 2

Given Input Data is 78, 34, 86, 16

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 34 is 2 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 16 is 2 x 2 x 2 x 2

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, 34) = 1326

GCD(78, 34) = ( 78 x 34 ) / 1326

GCD(78, 34) = 2652 / 1326

GCD(78, 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 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

GCD of 78, 34, 86, 16 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 72, 69, 12
• GCD of 70, 55, 10, 76
• GCD of 98, 68, 32, 79
• GCD of 30, 64, 68, 11
• GCD of 79, 67, 55, 66

1. What is the GCD of 78, 34, 86, 16?

GCD of 78, 34, 86, 16 is 2

2. Where do I get the detailed procedure to find GCD of 78, 34, 86, 16?

You can find a detailed procedure to find GCD of 78, 34, 86, 16 on our page.

3. How to find GCD of 78, 34, 86, 16 on a calculator?

You can find the GCD of 78, 34, 86, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.