GCD of 735, 318, 234 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 735, 318, 234 quickly. Get the easiest ways to solve the greatest common divisor of 735, 318, 234 i.e 3 in different methods as follows.
Given Input numbers are 735, 318, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (735, 318, 234) = 3.
Given numbers are 735, 318, 234
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 318 are 2 x 3 x 53
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 735, 318, 234 is 3.
Steps to Calculate GCD of 735, 318, 234 using LCM Formula
Given numbers are 735, 318, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 318) = 77910
GCD(735, 318) = ( 735 x 318 ) / 77910
= 735 / 318
= 735
Step2:
LCM(3, 234) = 234
GCD(3, 234) = ( 3 x 234 ) / 234
= 3 / 234
= 3
So, Greatest Common Divisor of 735, 318, 234 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 735, 318, 234
Given numbers are 735, 318, 234
The greatest common divisor of numbers 735, 318, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 318, 234 is 3.
FAQs on GCD of 735, 318, 234 Calculator
1. What is the GCD of 735, 318, 234?
GCD of given numbers 735, 318, 234 is 3
2. How to calculate the greatest common divisor of 735, 318, 234?
We can find the highest common divisor of 735, 318, 234 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 735, 318, 234 i.e 3.
3. How can I use the GCD of 735, 318, 234Calculator?
Out the numbers 735, 318, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.