GCD of 272, 414, 224 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 272, 414, 224 quickly. Get the easiest ways to solve the greatest common divisor of 272, 414, 224 i.e 2 in different methods as follows.
Given Input numbers are 272, 414, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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
GCD of numbers is the greatest common divisor
So, the GCD (272, 414, 224) = 2.
Given numbers are 272, 414, 224
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 272, 414, 224 is 2.
Steps to Calculate GCD of 272, 414, 224 using LCM Formula
Given numbers are 272, 414, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 414) = 56304
GCD(272, 414) = ( 272 x 414 ) / 56304
= 272 / 414
= 272
Step2:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
So, Greatest Common Divisor of 272, 414, 224 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 272, 414, 224
Given numbers are 272, 414, 224
The greatest common divisor of numbers 272, 414, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 414, 224 is 2.
FAQs on GCD of 272, 414, 224 Calculator
1. What is the GCD of 272, 414, 224?
GCD of given numbers 272, 414, 224 is 2
2. How to calculate the greatest common divisor of 272, 414, 224?
We can find the highest common divisor of 272, 414, 224 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 272, 414, 224 i.e 2.
3. How can I use the GCD of 272, 414, 224Calculator?
Out the numbers 272, 414, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.