GCD of 90, 34, 16 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 90, 34, 16 i.e. 2 largest integer that divides all the numbers equally.

GCD of 90, 34, 16 is 2

GCD(90, 34, 16) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 90, 34, 16 is 2

GCD(90, 34, 16) = 2

GCD of 90,34,16 Calculator

GCDof 90,34,16 is 2

Given Input numbers are 90, 34, 16

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

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 34

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

1, 2, 17, 34

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 90, 34, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 34, 16 is 2.

Therefore, GCD of numbers 90, 34, 16 is 2

Finding GCD of 90, 34, 16 using Prime Factorization

Given Input Data is 90, 34, 16

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

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

Prime Factorization of 34 is 2 x 17

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

Finding GCD of 90, 34, 16 using LCM Formula

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(90, 34) = 1530

GCD(90, 34) = ( 90 x 34 ) / 1530

GCD(90, 34) = 3060 / 1530

GCD(90, 34) = 2

Step2:

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 90, 34, 16 is 2

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 90, 34, 16

1. What is the GCD of 90, 34, 16?

GCD of 90, 34, 16 is 2

2. Where do I get the detailed procedure to find GCD of 90, 34, 16?

You can find a detailed procedure to find GCD of 90, 34, 16 on our page.

3. How to find GCD of 90, 34, 16 on a calculator?

You can find the GCD of 90, 34, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.