GCD of 36, 54, 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 36, 54, 16 i.e. 2 largest integer that divides all the numbers equally.
GCD of 36, 54, 16 is 2
GCD(36, 54, 16) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 54, 16 is 2
GCD(36, 54, 16) = 2
GCDof 36,54,16 is 2
Given Input numbers are 36, 54, 16
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
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 36, 54, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 54, 16 is 2.
Therefore, GCD of numbers 36, 54, 16 is 2
Given Input Data is 36, 54, 16
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
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 36, 54, 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(36, 54) = 108
GCD(36, 54) = ( 36 x 54 ) / 108
GCD(36, 54) = 1944 / 108
GCD(36, 54) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 16) = 144
GCD(18, 16) = ( 18 x 16 ) / 144
GCD(18, 16) = 288 / 144
GCD(18, 16) = 2
GCD of 36, 54, 16 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 36, 54, 16
1. What is the GCD of 36, 54, 16?
GCD of 36, 54, 16 is 2
2. Where do I get the detailed procedure to find GCD of 36, 54, 16?
You can find a detailed procedure to find GCD of 36, 54, 16 on our page.
3. How to find GCD of 36, 54, 16 on a calculator?
You can find the GCD of 36, 54, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.