GCD of 82, 72, 84 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 82, 72, 84 i.e. 2 largest integer that divides all the numbers equally.
GCD of 82, 72, 84 is 2
GCD(82, 72, 84) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 72, 84 is 2
GCD(82, 72, 84) = 2
GCDof 82,72,84 is 2
Given Input numbers are 82, 72, 84
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 82, 72, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 72, 84 is 2.
Therefore, GCD of numbers 82, 72, 84 is 2
Given Input Data is 82, 72, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 84 is 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 82, 72, 84 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(82, 72) = 2952
GCD(82, 72) = ( 82 x 72 ) / 2952
GCD(82, 72) = 5904 / 2952
GCD(82, 72) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
GCD of 82, 72, 84 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 82, 72, 84
1. What is the GCD of 82, 72, 84?
GCD of 82, 72, 84 is 2
2. Where do I get the detailed procedure to find GCD of 82, 72, 84?
You can find a detailed procedure to find GCD of 82, 72, 84 on our page.
3. How to find GCD of 82, 72, 84 on a calculator?
You can find the GCD of 82, 72, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.