GCD of 260, 318, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 260, 318, 14 quickly. Get the easiest ways to solve the greatest common divisor of 260, 318, 14 i.e 2 in different methods as follows.
Given Input numbers are 260, 318, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
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 (260, 318, 14) = 2.
Given numbers are 260, 318, 14
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 318 are 2 x 3 x 53
Prime factors of 14 are 2 x 7
The highest common occurrence is 21
Therefore, GCD of 260, 318, 14 is 2.
Steps to Calculate GCD of 260, 318, 14 using LCM Formula
Given numbers are 260, 318, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 318) = 41340
GCD(260, 318) = ( 260 x 318 ) / 41340
= 260 / 318
= 260
Step2:
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
= 2 / 14
= 2
So, Greatest Common Divisor of 260, 318, 14 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 260, 318, 14
Given numbers are 260, 318, 14
The greatest common divisor of numbers 260, 318, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 318, 14 is 2.
FAQs on GCD of 260, 318, 14 Calculator
1. What is the GCD of 260, 318, 14?
GCD of given numbers 260, 318, 14 is 2
2. How to calculate the greatest common divisor of 260, 318, 14?
We can find the highest common divisor of 260, 318, 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 260, 318, 14 i.e 2.
3. How can I use the GCD of 260, 318, 14Calculator?
Out the numbers 260, 318, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.