GCD of 828, 702, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 702, 342 quickly. Get the easiest ways to solve the greatest common divisor of 828, 702, 342 i.e 18 in different methods as follows.
Given Input numbers are 828, 702, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (828, 702, 342) = 18.
Given numbers are 828, 702, 342
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21 x 32
Therefore, GCD of 828, 702, 342 is 18.
Steps to Calculate GCD of 828, 702, 342 using LCM Formula
Given numbers are 828, 702, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 702) = 32292
GCD(828, 702) = ( 828 x 702 ) / 32292
= 828 / 702
= 828
Step2:
LCM(18, 342) = 342
GCD(18, 342) = ( 18 x 342 ) / 342
= 18 / 342
= 18
So, Greatest Common Divisor of 828, 702, 342 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 828, 702, 342
Given numbers are 828, 702, 342
The greatest common divisor of numbers 828, 702, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 702, 342 is 18.
FAQs on GCD of 828, 702, 342 Calculator
1. What is the GCD of 828, 702, 342?
GCD of given numbers 828, 702, 342 is 18
2. How to calculate the greatest common divisor of 828, 702, 342?
We can find the highest common divisor of 828, 702, 342 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 828, 702, 342 i.e 18.
3. How can I use the GCD of 828, 702, 342Calculator?
Out the numbers 828, 702, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.