GCD of 444, 840, 81 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 444, 840, 81 i.e. 3 largest integer that divides all the numbers equally.
GCD of 444, 840, 81 is 3
GCD(444, 840, 81) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 840, 81 is 3
GCD(444, 840, 81) = 3
GCDof 444,840,81 is 3
Given Input numbers are 444, 840, 81
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Greatest Common Divisior
We found the divisors of 444, 840, 81 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 840, 81 is 3.
Therefore, GCD of numbers 444, 840, 81 is 3
Given Input Data is 444, 840, 81
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 81 is 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 444, 840, 81 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(444, 840) = 31080
GCD(444, 840) = ( 444 x 840 ) / 31080
GCD(444, 840) = 372960 / 31080
GCD(444, 840) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 81) = 324
GCD(12, 81) = ( 12 x 81 ) / 324
GCD(12, 81) = 972 / 324
GCD(12, 81) = 3
GCD of 444, 840, 81 is 3
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FAQs on GCD of numbers 444, 840, 81
1. What is the GCD of 444, 840, 81?
GCD of 444, 840, 81 is 3
2. Where do I get the detailed procedure to find GCD of 444, 840, 81?
You can find a detailed procedure to find GCD of 444, 840, 81 on our page.
3. How to find GCD of 444, 840, 81 on a calculator?
You can find the GCD of 444, 840, 81 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.