GCD of 856, 132, 78 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 856, 132, 78 i.e. 2 largest integer that divides all the numbers equally.
GCD of 856, 132, 78 is 2
GCD(856, 132, 78) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 132, 78 is 2
GCD(856, 132, 78) = 2
GCDof 856,132,78 is 2
Given Input numbers are 856, 132, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Greatest Common Divisior
We found the divisors of 856, 132, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 132, 78 is 2.
Therefore, GCD of numbers 856, 132, 78 is 2
Given Input Data is 856, 132, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 78 is 2 x 3 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 856, 132, 78 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(856, 132) = 28248
GCD(856, 132) = ( 856 x 132 ) / 28248
GCD(856, 132) = 112992 / 28248
GCD(856, 132) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 78) = 156
GCD(4, 78) = ( 4 x 78 ) / 156
GCD(4, 78) = 312 / 156
GCD(4, 78) = 2
GCD of 856, 132, 78 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 856, 132, 78
1. What is the GCD of 856, 132, 78?
GCD of 856, 132, 78 is 2
2. Where do I get the detailed procedure to find GCD of 856, 132, 78?
You can find a detailed procedure to find GCD of 856, 132, 78 on our page.
3. How to find GCD of 856, 132, 78 on a calculator?
You can find the GCD of 856, 132, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.