GCD of 14, 24, 22, 54 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 14, 24, 22, 54 quickly. Get the easiest ways to solve the greatest common divisor of 14, 24, 22, 54 i.e 2 in different methods as follows.
Given Input numbers are 14, 24, 22, 54
In the factoring method, we have to find the divisors of all numbers
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
GCD of numbers is the greatest common divisor
So, the GCD (14, 24, 22, 54) = 2.
Given numbers are 14, 24, 22, 54
The list of prime factors of all numbers are
Prime factors of 14 are 2 x 7
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 22 are 2 x 11
Prime factors of 54 are 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 14, 24, 22, 54 is 2.
Steps to Calculate GCD of 14, 24, 22, 54 using LCM Formula
Given numbers are 14, 24, 22, 54
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(14, 24) = 168
GCD(14, 24) = ( 14 x 24 ) / 168
= 14 / 24
= 14
Step2:
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
= 2 / 22
= 2
Step3:
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
= 2 / 54
= 2
So, Greatest Common Divisor of 14, 24, 22, 54 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 14, 24, 22, 54
Given numbers are 14, 24, 22, 54
The greatest common divisor of numbers 14, 24, 22, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 24, 22, 54 is 2.
FAQs on GCD of 14, 24, 22, 54 Calculator
1. What is the GCD of 14, 24, 22, 54?
GCD of given numbers 14, 24, 22, 54 is 2
2. How to calculate the greatest common divisor of 14, 24, 22, 54?
We can find the highest common divisor of 14, 24, 22, 54 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 14, 24, 22, 54 i.e 2.
3. How can I use the GCD of 14, 24, 22, 54Calculator?
Out the numbers 14, 24, 22, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.