GCD of 82, 14, 22, 20 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 82, 14, 22, 20 quickly. Get the easiest ways to solve the greatest common divisor of 82, 14, 22, 20 i.e 2 in different methods as follows.
Given Input numbers are 82, 14, 22, 20
In the factoring method, we have to find the divisors of all numbers
Divisors of 82 :
The positive integer divisors of 82 that completely divides 82 are.
1, 2, 41, 82
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
GCD of numbers is the greatest common divisor
So, the GCD (82, 14, 22, 20) = 2.
Given numbers are 82, 14, 22, 20
The list of prime factors of all numbers are
Prime factors of 82 are 2 x 41
Prime factors of 14 are 2 x 7
Prime factors of 22 are 2 x 11
Prime factors of 20 are 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 82, 14, 22, 20 is 2.
Steps to Calculate GCD of 82, 14, 22, 20 using LCM Formula
Given numbers are 82, 14, 22, 20
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(82, 14) = 574
GCD(82, 14) = ( 82 x 14 ) / 574
= 82 / 14
= 82
Step2:
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
= 2 / 22
= 2
Step3:
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
= 2 / 20
= 2
So, Greatest Common Divisor of 82, 14, 22, 20 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 82, 14, 22, 20
Given numbers are 82, 14, 22, 20
The greatest common divisor of numbers 82, 14, 22, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 82, 14, 22, 20 is 2.
FAQs on GCD of 82, 14, 22, 20 Calculator
1. What is the GCD of 82, 14, 22, 20?
GCD of given numbers 82, 14, 22, 20 is 2
2. How to calculate the greatest common divisor of 82, 14, 22, 20?
We can find the highest common divisor of 82, 14, 22, 20 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 82, 14, 22, 20 i.e 2.
3. How can I use the GCD of 82, 14, 22, 20Calculator?
Out the numbers 82, 14, 22, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.