GCD of 918, 504, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 918, 504, 342 quickly. Get the easiest ways to solve the greatest common divisor of 918, 504, 342 i.e 18 in different methods as follows.
Given Input numbers are 918, 504, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 (918, 504, 342) = 18.
Given numbers are 918, 504, 342
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21 x 32
Therefore, GCD of 918, 504, 342 is 18.
Steps to Calculate GCD of 918, 504, 342 using LCM Formula
Given numbers are 918, 504, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 504) = 25704
GCD(918, 504) = ( 918 x 504 ) / 25704
= 918 / 504
= 918
Step2:
LCM(18, 342) = 342
GCD(18, 342) = ( 18 x 342 ) / 342
= 18 / 342
= 18
So, Greatest Common Divisor of 918, 504, 342 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 918, 504, 342
Given numbers are 918, 504, 342
The greatest common divisor of numbers 918, 504, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 504, 342 is 18.
FAQs on GCD of 918, 504, 342 Calculator
1. What is the GCD of 918, 504, 342?
GCD of given numbers 918, 504, 342 is 18
2. How to calculate the greatest common divisor of 918, 504, 342?
We can find the highest common divisor of 918, 504, 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 918, 504, 342 i.e 18.
3. How can I use the GCD of 918, 504, 342Calculator?
Out the numbers 918, 504, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.