GCD of 261, 189, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 261, 189, 14 quickly. Get the easiest ways to solve the greatest common divisor of 261, 189, 14 i.e 1 in different methods as follows.
Given Input numbers are 261, 189, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
GCD of numbers is the greatest common divisor
So, the GCD (261, 189, 14) = 1.
Given numbers are 261, 189, 14
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 14 are 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 261, 189, 14 using LCM Formula
Given numbers are 261, 189, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 189) = 5481
GCD(261, 189) = ( 261 x 189 ) / 5481
= 261 / 189
= 261
Step2:
LCM(9, 14) = 126
GCD(9, 14) = ( 9 x 14 ) / 126
= 9 / 14
= 9
So, Greatest Common Divisor of 261, 189, 14 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 261, 189, 14
Given numbers are 261, 189, 14
The greatest common divisor of numbers 261, 189, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 189, 14 is 1.
FAQs on GCD of 261, 189, 14 Calculator
1. What is the GCD of 261, 189, 14?
GCD of given numbers 261, 189, 14 is 1
2. How to calculate the greatest common divisor of 261, 189, 14?
We can find the highest common divisor of 261, 189, 14 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 261, 189, 14 i.e 1.
3. How can I use the GCD of 261, 189, 14Calculator?
Out the numbers 261, 189, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.