GCD of 279, 909, 282 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 279, 909, 282 i.e. 3 largest integer that divides all the numbers equally.
GCD of 279, 909, 282 is 3
GCD(279, 909, 282) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 279, 909, 282 is 3
GCD(279, 909, 282) = 3
GCDof 279,909,282 is 3
Given Input numbers are 279, 909, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 279, 909, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 909, 282 is 3.
Therefore, GCD of numbers 279, 909, 282 is 3
Given Input Data is 279, 909, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 282 is 2 x 3 x 47
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 279, 909, 282 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(279, 909) = 28179
GCD(279, 909) = ( 279 x 909 ) / 28179
GCD(279, 909) = 253611 / 28179
GCD(279, 909) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 282) = 846
GCD(9, 282) = ( 9 x 282 ) / 846
GCD(9, 282) = 2538 / 846
GCD(9, 282) = 3
GCD of 279, 909, 282 is 3
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FAQs on GCD of numbers 279, 909, 282
1. What is the GCD of 279, 909, 282?
GCD of 279, 909, 282 is 3
2. Where do I get the detailed procedure to find GCD of 279, 909, 282?
You can find a detailed procedure to find GCD of 279, 909, 282 on our page.
3. How to find GCD of 279, 909, 282 on a calculator?
You can find the GCD of 279, 909, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.