GCD of 732, 306, 495 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 732, 306, 495 i.e. 3 largest integer that divides all the numbers equally.
GCD of 732, 306, 495 is 3
GCD(732, 306, 495) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 306, 495 is 3
GCD(732, 306, 495) = 3
GCDof 732,306,495 is 3
Given Input numbers are 732, 306, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 732, 306, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 306, 495 is 3.
Therefore, GCD of numbers 732, 306, 495 is 3
Given Input Data is 732, 306, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 495 is 3 x 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 732, 306, 495 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(732, 306) = 37332
GCD(732, 306) = ( 732 x 306 ) / 37332
GCD(732, 306) = 223992 / 37332
GCD(732, 306) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 495) = 990
GCD(6, 495) = ( 6 x 495 ) / 990
GCD(6, 495) = 2970 / 990
GCD(6, 495) = 3
GCD of 732, 306, 495 is 3
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FAQs on GCD of numbers 732, 306, 495
1. What is the GCD of 732, 306, 495?
GCD of 732, 306, 495 is 3
2. Where do I get the detailed procedure to find GCD of 732, 306, 495?
You can find a detailed procedure to find GCD of 732, 306, 495 on our page.
3. How to find GCD of 732, 306, 495 on a calculator?
You can find the GCD of 732, 306, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.