Online GCD Calculator is useful to find the GCD of 658, 378, 728 quickly. Get the easiest ways to solve the greatest common divisor of 658, 378, 728 i.e 14 in different methods as follows.
Given Input numbers are 658, 378, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
GCD of numbers is the greatest common divisor
So, the GCD (658, 378, 728) = 14.
Given numbers are 658, 378, 728
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 21 x 71
Therefore, GCD of 658, 378, 728 is 14.
Given numbers are 658, 378, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 378) = 17766
GCD(658, 378) = ( 658 x 378 ) / 17766
= 658 / 378
= 658
Step2:
LCM(14, 728) = 728
GCD(14, 728) = ( 14 x 728 ) / 728
= 14 / 728
= 14
So, Greatest Common Divisor of 658, 378, 728 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 378, 728
The greatest common divisor of numbers 658, 378, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 378, 728 is 14.
1. What is the GCD of 658, 378, 728?
GCD of given numbers 658, 378, 728 is 14
2. How to calculate the greatest common divisor of 658, 378, 728?
We can find the highest common divisor of 658, 378, 728 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 658, 378, 728 i.e 14.
3. How can I use the GCD of 658, 378, 728Calculator?
Out the numbers 658, 378, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.