Online GCD Calculator is useful to find the GCD of 684, 348, 728, 109 quickly. Get the easiest ways to solve the greatest common divisor of 684, 348, 728, 109 i.e 1 in different methods as follows.
Given Input numbers are 684, 348, 728, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (684, 348, 728, 109) = 1.
Given numbers are 684, 348, 728, 109
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 348, 728, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 348) = 19836
GCD(684, 348) = ( 684 x 348 ) / 19836
= 684 / 348
= 684
Step2:
LCM(12, 728) = 2184
GCD(12, 728) = ( 12 x 728 ) / 2184
= 12 / 728
= 12
Step3:
LCM(4, 109) = 436
GCD(4, 109) = ( 4 x 109 ) / 436
= 4 / 109
= 4
So, Greatest Common Divisor of 684, 348, 728, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 348, 728, 109
The greatest common divisor of numbers 684, 348, 728, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 348, 728, 109 is 1.
1. What is the GCD of 684, 348, 728, 109?
GCD of given numbers 684, 348, 728, 109 is 1
2. How to calculate the greatest common divisor of 684, 348, 728, 109?
We can find the highest common divisor of 684, 348, 728, 109 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 684, 348, 728, 109 i.e 1.
3. How can I use the GCD of 684, 348, 728, 109Calculator?
Out the numbers 684, 348, 728, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.