GCD of 828, 786, 614 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 828, 786, 614 i.e. 2 largest integer that divides all the numbers equally.
GCD of 828, 786, 614 is 2
GCD(828, 786, 614) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 786, 614 is 2
GCD(828, 786, 614) = 2
GCDof 828,786,614 is 2
Given Input numbers are 828, 786, 614
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 828, 786, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 786, 614 is 2.
Therefore, GCD of numbers 828, 786, 614 is 2
Given Input Data is 828, 786, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 614 is 2 x 307
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 828, 786, 614 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(828, 786) = 108468
GCD(828, 786) = ( 828 x 786 ) / 108468
GCD(828, 786) = 650808 / 108468
GCD(828, 786) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 614) = 1842
GCD(6, 614) = ( 6 x 614 ) / 1842
GCD(6, 614) = 3684 / 1842
GCD(6, 614) = 2
GCD of 828, 786, 614 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 828, 786, 614
1. What is the GCD of 828, 786, 614?
GCD of 828, 786, 614 is 2
2. Where do I get the detailed procedure to find GCD of 828, 786, 614?
You can find a detailed procedure to find GCD of 828, 786, 614 on our page.
3. How to find GCD of 828, 786, 614 on a calculator?
You can find the GCD of 828, 786, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.