GCD of 135, 558, 165 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 135, 558, 165 i.e. 3 largest integer that divides all the numbers equally.
GCD of 135, 558, 165 is 3
GCD(135, 558, 165) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 558, 165 is 3
GCD(135, 558, 165) = 3
GCDof 135,558,165 is 3
Given Input numbers are 135, 558, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 135, 558, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 558, 165 is 3.
Therefore, GCD of numbers 135, 558, 165 is 3
Given Input Data is 135, 558, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 165 is 3 x 5 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 135, 558, 165 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(135, 558) = 8370
GCD(135, 558) = ( 135 x 558 ) / 8370
GCD(135, 558) = 75330 / 8370
GCD(135, 558) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 165) = 495
GCD(9, 165) = ( 9 x 165 ) / 495
GCD(9, 165) = 1485 / 495
GCD(9, 165) = 3
GCD of 135, 558, 165 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 135, 558, 165
1. What is the GCD of 135, 558, 165?
GCD of 135, 558, 165 is 3
2. Where do I get the detailed procedure to find GCD of 135, 558, 165?
You can find a detailed procedure to find GCD of 135, 558, 165 on our page.
3. How to find GCD of 135, 558, 165 on a calculator?
You can find the GCD of 135, 558, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.