GCD of 363, 732, 99 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 363, 732, 99 i.e. 3 largest integer that divides all the numbers equally.
GCD of 363, 732, 99 is 3
GCD(363, 732, 99) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 732, 99 is 3
GCD(363, 732, 99) = 3
GCDof 363,732,99 is 3
Given Input numbers are 363, 732, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
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 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 363, 732, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 732, 99 is 3.
Therefore, GCD of numbers 363, 732, 99 is 3
Given Input Data is 363, 732, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 99 is 3 x 3 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 363, 732, 99 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(363, 732) = 88572
GCD(363, 732) = ( 363 x 732 ) / 88572
GCD(363, 732) = 265716 / 88572
GCD(363, 732) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
GCD(3, 99) = 297 / 99
GCD(3, 99) = 3
GCD of 363, 732, 99 is 3
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FAQs on GCD of numbers 363, 732, 99
1. What is the GCD of 363, 732, 99?
GCD of 363, 732, 99 is 3
2. Where do I get the detailed procedure to find GCD of 363, 732, 99?
You can find a detailed procedure to find GCD of 363, 732, 99 on our page.
3. How to find GCD of 363, 732, 99 on a calculator?
You can find the GCD of 363, 732, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.