GCD of 92, 76, 12 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 92, 76, 12 i.e. 4 largest integer that divides all the numbers equally.
GCD of 92, 76, 12 is 4
GCD(92, 76, 12) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 92, 76, 12 is 4
GCD(92, 76, 12) = 4
GCDof 92,76,12 is 4
Given Input numbers are 92, 76, 12
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Greatest Common Divisior
We found the divisors of 92, 76, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 76, 12 is 4.
Therefore, GCD of numbers 92, 76, 12 is 4
Given Input Data is 92, 76, 12
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 12 is 2 x 2 x 3
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 92, 76, 12 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(92, 76) = 1748
GCD(92, 76) = ( 92 x 76 ) / 1748
GCD(92, 76) = 6992 / 1748
GCD(92, 76) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 12) = 12
GCD(4, 12) = ( 4 x 12 ) / 12
GCD(4, 12) = 48 / 12
GCD(4, 12) = 4
GCD of 92, 76, 12 is 4
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FAQs on GCD of numbers 92, 76, 12
1. What is the GCD of 92, 76, 12?
GCD of 92, 76, 12 is 4
2. Where do I get the detailed procedure to find GCD of 92, 76, 12?
You can find a detailed procedure to find GCD of 92, 76, 12 on our page.
3. How to find GCD of 92, 76, 12 on a calculator?
You can find the GCD of 92, 76, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.