GCD of 27, 45, 75 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 27, 45, 75 i.e. 3 largest integer that divides all the numbers equally.
GCD of 27, 45, 75 is 3
GCD(27, 45, 75) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 45, 75 is 3
GCD(27, 45, 75) = 3
GCDof 27,45,75 is 3
Given Input numbers are 27, 45, 75
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 27, 45, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 45, 75 is 3.
Therefore, GCD of numbers 27, 45, 75 is 3
Given Input Data is 27, 45, 75
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 75 is 3 x 5 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 27, 45, 75 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(27, 45) = 135
GCD(27, 45) = ( 27 x 45 ) / 135
GCD(27, 45) = 1215 / 135
GCD(27, 45) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 75) = 225
GCD(9, 75) = ( 9 x 75 ) / 225
GCD(9, 75) = 675 / 225
GCD(9, 75) = 3
GCD of 27, 45, 75 is 3
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FAQs on GCD of numbers 27, 45, 75
1. What is the GCD of 27, 45, 75?
GCD of 27, 45, 75 is 3
2. Where do I get the detailed procedure to find GCD of 27, 45, 75?
You can find a detailed procedure to find GCD of 27, 45, 75 on our page.
3. How to find GCD of 27, 45, 75 on a calculator?
You can find the GCD of 27, 45, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.