GCD of 384, 217, 49 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 384, 217, 49 quickly. Get the easiest ways to solve the greatest common divisor of 384, 217, 49 i.e 1 in different methods as follows.
Given Input numbers are 384, 217, 49
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
GCD of numbers is the greatest common divisor
So, the GCD (384, 217, 49) = 1.
Given numbers are 384, 217, 49
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 217 are 7 x 31
Prime factors of 49 are 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 384, 217, 49 using LCM Formula
Given numbers are 384, 217, 49
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 217) = 83328
GCD(384, 217) = ( 384 x 217 ) / 83328
= 384 / 217
= 384
Step2:
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
= 1 / 49
= 1
So, Greatest Common Divisor of 384, 217, 49 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 384, 217, 49
Given numbers are 384, 217, 49
The greatest common divisor of numbers 384, 217, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 217, 49 is 1.
FAQs on GCD of 384, 217, 49 Calculator
1. What is the GCD of 384, 217, 49?
GCD of given numbers 384, 217, 49 is 1
2. How to calculate the greatest common divisor of 384, 217, 49?
We can find the highest common divisor of 384, 217, 49 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 384, 217, 49 i.e 1.
3. How can I use the GCD of 384, 217, 49Calculator?
Out the numbers 384, 217, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.