GCD of 728, 784, 308 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 728, 784, 308 quickly. Get the easiest ways to solve the greatest common divisor of 728, 784, 308 i.e 28 in different methods as follows.
Given Input numbers are 728, 784, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (728, 784, 308) = 28.
Given numbers are 728, 784, 308
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 22 x 71
Therefore, GCD of 728, 784, 308 is 28.
Steps to Calculate GCD of 728, 784, 308 using LCM Formula
Given numbers are 728, 784, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 784) = 10192
GCD(728, 784) = ( 728 x 784 ) / 10192
= 728 / 784
= 728
Step2:
LCM(56, 308) = 616
GCD(56, 308) = ( 56 x 308 ) / 616
= 56 / 308
= 56
So, Greatest Common Divisor of 728, 784, 308 is 28
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 728, 784, 308
Given numbers are 728, 784, 308
The greatest common divisor of numbers 728, 784, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 784, 308 is 28.
FAQs on GCD of 728, 784, 308 Calculator
1. What is the GCD of 728, 784, 308?
GCD of given numbers 728, 784, 308 is 28
2. How to calculate the greatest common divisor of 728, 784, 308?
We can find the highest common divisor of 728, 784, 308 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 728, 784, 308 i.e 28.
3. How can I use the GCD of 728, 784, 308Calculator?
Out the numbers 728, 784, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.