GCD of 224, 364, 329 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 224, 364, 329 quickly. Get the easiest ways to solve the greatest common divisor of 224, 364, 329 i.e 7 in different methods as follows.
Given Input numbers are 224, 364, 329
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
GCD of numbers is the greatest common divisor
So, the GCD (224, 364, 329) = 7.
Given numbers are 224, 364, 329
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 329 are 7 x 47
The highest common occurrence is 71
Therefore, GCD of 224, 364, 329 is 7.
Steps to Calculate GCD of 224, 364, 329 using LCM Formula
Given numbers are 224, 364, 329
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 364) = 2912
GCD(224, 364) = ( 224 x 364 ) / 2912
= 224 / 364
= 224
Step2:
LCM(28, 329) = 1316
GCD(28, 329) = ( 28 x 329 ) / 1316
= 28 / 329
= 28
So, Greatest Common Divisor of 224, 364, 329 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 224, 364, 329
Given numbers are 224, 364, 329
The greatest common divisor of numbers 224, 364, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 364, 329 is 7.
FAQs on GCD of 224, 364, 329 Calculator
1. What is the GCD of 224, 364, 329?
GCD of given numbers 224, 364, 329 is 7
2. How to calculate the greatest common divisor of 224, 364, 329?
We can find the highest common divisor of 224, 364, 329 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 224, 364, 329 i.e 7.
3. How can I use the GCD of 224, 364, 329Calculator?
Out the numbers 224, 364, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.