GCD of 735, 168, 144 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 735, 168, 144 quickly. Get the easiest ways to solve the greatest common divisor of 735, 168, 144 i.e 3 in different methods as follows.
Given Input numbers are 735, 168, 144
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (735, 168, 144) = 3.
Given numbers are 735, 168, 144
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 735, 168, 144 is 3.
Steps to Calculate GCD of 735, 168, 144 using LCM Formula
Given numbers are 735, 168, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 168) = 5880
GCD(735, 168) = ( 735 x 168 ) / 5880
= 735 / 168
= 735
Step2:
LCM(21, 144) = 1008
GCD(21, 144) = ( 21 x 144 ) / 1008
= 21 / 144
= 21
So, Greatest Common Divisor of 735, 168, 144 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 735, 168, 144
Given numbers are 735, 168, 144
The greatest common divisor of numbers 735, 168, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 168, 144 is 3.
FAQs on GCD of 735, 168, 144 Calculator
1. What is the GCD of 735, 168, 144?
GCD of given numbers 735, 168, 144 is 3
2. How to calculate the greatest common divisor of 735, 168, 144?
We can find the highest common divisor of 735, 168, 144 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, 168, 144 i.e 3.
3. How can I use the GCD of 735, 168, 144Calculator?
Out the numbers 735, 168, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.