GCD of 992, 464, 82 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 992, 464, 82 i.e. 2 largest integer that divides all the numbers equally.
GCD of 992, 464, 82 is 2
GCD(992, 464, 82) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 464, 82 is 2
GCD(992, 464, 82) = 2
GCDof 992,464,82 is 2
Given Input numbers are 992, 464, 82
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Greatest Common Divisior
We found the divisors of 992, 464, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 464, 82 is 2.
Therefore, GCD of numbers 992, 464, 82 is 2
Given Input Data is 992, 464, 82
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 82 is 2 x 41
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 992, 464, 82 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(992, 464) = 28768
GCD(992, 464) = ( 992 x 464 ) / 28768
GCD(992, 464) = 460288 / 28768
GCD(992, 464) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 82) = 656
GCD(16, 82) = ( 16 x 82 ) / 656
GCD(16, 82) = 1312 / 656
GCD(16, 82) = 2
GCD of 992, 464, 82 is 2
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FAQs on GCD of numbers 992, 464, 82
1. What is the GCD of 992, 464, 82?
GCD of 992, 464, 82 is 2
2. Where do I get the detailed procedure to find GCD of 992, 464, 82?
You can find a detailed procedure to find GCD of 992, 464, 82 on our page.
3. How to find GCD of 992, 464, 82 on a calculator?
You can find the GCD of 992, 464, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.