GCD of 705, 189, 114 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 705, 189, 114 quickly. Get the easiest ways to solve the greatest common divisor of 705, 189, 114 i.e 3 in different methods as follows.
Given Input numbers are 705, 189, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (705, 189, 114) = 3.
Given numbers are 705, 189, 114
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 705, 189, 114 is 3.
Steps to Calculate GCD of 705, 189, 114 using LCM Formula
Given numbers are 705, 189, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 189) = 44415
GCD(705, 189) = ( 705 x 189 ) / 44415
= 705 / 189
= 705
Step2:
LCM(3, 114) = 114
GCD(3, 114) = ( 3 x 114 ) / 114
= 3 / 114
= 3
So, Greatest Common Divisor of 705, 189, 114 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 705, 189, 114
Given numbers are 705, 189, 114
The greatest common divisor of numbers 705, 189, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 189, 114 is 3.
FAQs on GCD of 705, 189, 114 Calculator
1. What is the GCD of 705, 189, 114?
GCD of given numbers 705, 189, 114 is 3
2. How to calculate the greatest common divisor of 705, 189, 114?
We can find the highest common divisor of 705, 189, 114 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 705, 189, 114 i.e 3.
3. How can I use the GCD of 705, 189, 114Calculator?
Out the numbers 705, 189, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.