GCD of 297, 684, 114 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 297, 684, 114 quickly. Get the easiest ways to solve the greatest common divisor of 297, 684, 114 i.e 3 in different methods as follows.
Given Input numbers are 297, 684, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 (297, 684, 114) = 3.
Given numbers are 297, 684, 114
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 297, 684, 114 is 3.
Steps to Calculate GCD of 297, 684, 114 using LCM Formula
Given numbers are 297, 684, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 684) = 22572
GCD(297, 684) = ( 297 x 684 ) / 22572
= 297 / 684
= 297
Step2:
LCM(9, 114) = 342
GCD(9, 114) = ( 9 x 114 ) / 342
= 9 / 114
= 9
So, Greatest Common Divisor of 297, 684, 114 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 297, 684, 114
Given numbers are 297, 684, 114
The greatest common divisor of numbers 297, 684, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 684, 114 is 3.
FAQs on GCD of 297, 684, 114 Calculator
1. What is the GCD of 297, 684, 114?
GCD of given numbers 297, 684, 114 is 3
2. How to calculate the greatest common divisor of 297, 684, 114?
We can find the highest common divisor of 297, 684, 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 297, 684, 114 i.e 3.
3. How can I use the GCD of 297, 684, 114Calculator?
Out the numbers 297, 684, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.