GCD of 396, 388, 114 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 396, 388, 114 i.e. 2 largest integer that divides all the numbers equally.
GCD of 396, 388, 114 is 2
GCD(396, 388, 114) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 388, 114 is 2
GCD(396, 388, 114) = 2
GCDof 396,388,114 is 2
Given Input numbers are 396, 388, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 396, 388, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 388, 114 is 2.
Therefore, GCD of numbers 396, 388, 114 is 2
Given Input Data is 396, 388, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 114 is 2 x 3 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 396, 388, 114 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(396, 388) = 38412
GCD(396, 388) = ( 396 x 388 ) / 38412
GCD(396, 388) = 153648 / 38412
GCD(396, 388) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 114) = 228
GCD(4, 114) = ( 4 x 114 ) / 228
GCD(4, 114) = 456 / 228
GCD(4, 114) = 2
GCD of 396, 388, 114 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 396, 388, 114
1. What is the GCD of 396, 388, 114?
GCD of 396, 388, 114 is 2
2. Where do I get the detailed procedure to find GCD of 396, 388, 114?
You can find a detailed procedure to find GCD of 396, 388, 114 on our page.
3. How to find GCD of 396, 388, 114 on a calculator?
You can find the GCD of 396, 388, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.