GCD of 834, 558, 178 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 834, 558, 178 i.e. 2 largest integer that divides all the numbers equally.
GCD of 834, 558, 178 is 2
GCD(834, 558, 178) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 558, 178 is 2
GCD(834, 558, 178) = 2
GCDof 834,558,178 is 2
Given Input numbers are 834, 558, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 834, 558, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 558, 178 is 2.
Therefore, GCD of numbers 834, 558, 178 is 2
Given Input Data is 834, 558, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 178 is 2 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 834, 558, 178 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(834, 558) = 77562
GCD(834, 558) = ( 834 x 558 ) / 77562
GCD(834, 558) = 465372 / 77562
GCD(834, 558) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 178) = 534
GCD(6, 178) = ( 6 x 178 ) / 534
GCD(6, 178) = 1068 / 534
GCD(6, 178) = 2
GCD of 834, 558, 178 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 834, 558, 178
1. What is the GCD of 834, 558, 178?
GCD of 834, 558, 178 is 2
2. Where do I get the detailed procedure to find GCD of 834, 558, 178?
You can find a detailed procedure to find GCD of 834, 558, 178 on our page.
3. How to find GCD of 834, 558, 178 on a calculator?
You can find the GCD of 834, 558, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.