GCD of 33, 48, 45 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 33, 48, 45 i.e. 3 largest integer that divides all the numbers equally.
GCD of 33, 48, 45 is 3
GCD(33, 48, 45) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 48, 45 is 3
GCD(33, 48, 45) = 3
GCDof 33,48,45 is 3
Given Input numbers are 33, 48, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 33, 48, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 48, 45 is 3.
Therefore, GCD of numbers 33, 48, 45 is 3
Given Input Data is 33, 48, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 45 is 3 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 33, 48, 45 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(33, 48) = 528
GCD(33, 48) = ( 33 x 48 ) / 528
GCD(33, 48) = 1584 / 528
GCD(33, 48) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 45) = 45
GCD(3, 45) = ( 3 x 45 ) / 45
GCD(3, 45) = 135 / 45
GCD(3, 45) = 3
GCD of 33, 48, 45 is 3
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FAQs on GCD of numbers 33, 48, 45
1. What is the GCD of 33, 48, 45?
GCD of 33, 48, 45 is 3
2. Where do I get the detailed procedure to find GCD of 33, 48, 45?
You can find a detailed procedure to find GCD of 33, 48, 45 on our page.
3. How to find GCD of 33, 48, 45 on a calculator?
You can find the GCD of 33, 48, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.