GCD of 16, 46, 58, 34 Calculator

Given Input numbers are 16, 46, 58, 34

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 58

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

1, 2, 29, 58

Divisors of 34

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

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 16, 46, 58, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 46, 58, 34 is 2.

Therefore, GCD of numbers 16, 46, 58, 34 is 2

Given Input Data is 16, 46, 58, 34

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

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 34 is 2 x 17

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(16, 46) = 368

GCD(16, 46) = ( 16 x 46 ) / 368

GCD(16, 46) = 736 / 368

GCD(16, 46) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

GCD of 16, 46, 58, 34 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 57, 49, 41
• GCD of 83, 39, 73, 64
• GCD of 46, 78, 52, 11
• GCD of 25, 31, 99, 90
• GCD of 86, 67, 76, 66

1. What is the GCD of 16, 46, 58, 34?

GCD of 16, 46, 58, 34 is 2

2. Where do I get the detailed procedure to find GCD of 16, 46, 58, 34?

You can find a detailed procedure to find GCD of 16, 46, 58, 34 on our page.

3. How to find GCD of 16, 46, 58, 34 on a calculator?

You can find the GCD of 16, 46, 58, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.