GCD of 438, 276, 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 438, 276, 81 i.e. 3 largest integer that divides all the numbers equally.
GCD of 438, 276, 81 is 3
GCD(438, 276, 81) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 276, 81 is 3
GCD(438, 276, 81) = 3
GCDof 438,276,81 is 3
Given Input numbers are 438, 276, 81
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
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 438, 276, 81 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 276, 81 is 3.
Therefore, GCD of numbers 438, 276, 81 is 3
Given Input Data is 438, 276, 81
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 276 is 2 x 2 x 3 x 23
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 438, 276, 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(438, 276) = 20148
GCD(438, 276) = ( 438 x 276 ) / 20148
GCD(438, 276) = 120888 / 20148
GCD(438, 276) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 81) = 162
GCD(6, 81) = ( 6 x 81 ) / 162
GCD(6, 81) = 486 / 162
GCD(6, 81) = 3
GCD of 438, 276, 81 is 3
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FAQs on GCD of numbers 438, 276, 81
1. What is the GCD of 438, 276, 81?
GCD of 438, 276, 81 is 3
2. Where do I get the detailed procedure to find GCD of 438, 276, 81?
You can find a detailed procedure to find GCD of 438, 276, 81 on our page.
3. How to find GCD of 438, 276, 81 on a calculator?
You can find the GCD of 438, 276, 81 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.