GCD of 322, 112, 392 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 322, 112, 392 quickly. Get the easiest ways to solve the greatest common divisor of 322, 112, 392 i.e 14 in different methods as follows.
Given Input numbers are 322, 112, 392
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (322, 112, 392) = 14.
Given numbers are 322, 112, 392
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 322, 112, 392 is 14.
Steps to Calculate GCD of 322, 112, 392 using LCM Formula
Given numbers are 322, 112, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 112) = 2576
GCD(322, 112) = ( 322 x 112 ) / 2576
= 322 / 112
= 322
Step2:
LCM(14, 392) = 392
GCD(14, 392) = ( 14 x 392 ) / 392
= 14 / 392
= 14
So, Greatest Common Divisor of 322, 112, 392 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 322, 112, 392
Given numbers are 322, 112, 392
The greatest common divisor of numbers 322, 112, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 112, 392 is 14.
FAQs on GCD of 322, 112, 392 Calculator
1. What is the GCD of 322, 112, 392?
GCD of given numbers 322, 112, 392 is 14
2. How to calculate the greatest common divisor of 322, 112, 392?
We can find the highest common divisor of 322, 112, 392 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 322, 112, 392 i.e 14.
3. How can I use the GCD of 322, 112, 392Calculator?
Out the numbers 322, 112, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.