Online GCD Calculator is useful to find the GCD of 294, 728, 728, 210 quickly. Get the easiest ways to solve the greatest common divisor of 294, 728, 728, 210 i.e 14 in different methods as follows.
Given Input numbers are 294, 728, 728, 210
In the factoring method, we have to find the divisors of all numbers
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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 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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD of numbers is the greatest common divisor
So, the GCD (294, 728, 728, 210) = 14.
Given numbers are 294, 728, 728, 210
The list of prime factors of all numbers are
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 210 are 2 x 3 x 5 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 294, 728, 728, 210 is 14.
Given numbers are 294, 728, 728, 210
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(294, 728) = 15288
GCD(294, 728) = ( 294 x 728 ) / 15288
= 294 / 728
= 294
Step2:
LCM(14, 728) = 728
GCD(14, 728) = ( 14 x 728 ) / 728
= 14 / 728
= 14
Step3:
LCM(14, 210) = 210
GCD(14, 210) = ( 14 x 210 ) / 210
= 14 / 210
= 14
So, Greatest Common Divisor of 294, 728, 728, 210 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 294, 728, 728, 210
The greatest common divisor of numbers 294, 728, 728, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 728, 728, 210 is 14.
1. What is the GCD of 294, 728, 728, 210?
GCD of given numbers 294, 728, 728, 210 is 14
2. How to calculate the greatest common divisor of 294, 728, 728, 210?
We can find the highest common divisor of 294, 728, 728, 210 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 294, 728, 728, 210 i.e 14.
3. How can I use the GCD of 294, 728, 728, 210Calculator?
Out the numbers 294, 728, 728, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.