GCD of 10, 82, 32, 38 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 10, 82, 32, 38 quickly. Get the easiest ways to solve the greatest common divisor of 10, 82, 32, 38 i.e 2 in different methods as follows.
Given Input numbers are 10, 82, 32, 38
In the factoring method, we have to find the divisors of all numbers
Divisors of 10 :
The positive integer divisors of 10 that completely divides 10 are.
1, 2, 5, 10
Divisors of 82 :
The positive integer divisors of 82 that completely divides 82 are.
1, 2, 41, 82
Divisors of 32 :
The positive integer divisors of 32 that completely divides 32 are.
1, 2, 4, 8, 16, 32
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
GCD of numbers is the greatest common divisor
So, the GCD (10, 82, 32, 38) = 2.
Given numbers are 10, 82, 32, 38
The list of prime factors of all numbers are
Prime factors of 10 are 2 x 5
Prime factors of 82 are 2 x 41
Prime factors of 32 are 2 x 2 x 2 x 2 x 2
Prime factors of 38 are 2 x 19
The highest common occurrence is 21
Therefore, GCD of 10, 82, 32, 38 is 2.
Steps to Calculate GCD of 10, 82, 32, 38 using LCM Formula
Given numbers are 10, 82, 32, 38
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(10, 82) = 410
GCD(10, 82) = ( 10 x 82 ) / 410
= 10 / 82
= 10
Step2:
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
= 2 / 32
= 2
Step3:
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
= 2 / 38
= 2
So, Greatest Common Divisor of 10, 82, 32, 38 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 10, 82, 32, 38
Given numbers are 10, 82, 32, 38
The greatest common divisor of numbers 10, 82, 32, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 10, 82, 32, 38 is 2.
FAQs on GCD of 10, 82, 32, 38 Calculator
1. What is the GCD of 10, 82, 32, 38?
GCD of given numbers 10, 82, 32, 38 is 2
2. How to calculate the greatest common divisor of 10, 82, 32, 38?
We can find the highest common divisor of 10, 82, 32, 38 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 10, 82, 32, 38 i.e 2.
3. How can I use the GCD of 10, 82, 32, 38Calculator?
Out the numbers 10, 82, 32, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.