Online GCD Calculator is useful to find the GCD of 104, 728, 840 quickly. Get the easiest ways to solve the greatest common divisor of 104, 728, 840 i.e 8 in different methods as follows.
Given Input numbers are 104, 728, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
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 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (104, 728, 840) = 8.
Given numbers are 104, 728, 840
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 23
Therefore, GCD of 104, 728, 840 is 8.
Given numbers are 104, 728, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 728) = 728
GCD(104, 728) = ( 104 x 728 ) / 728
= 104 / 728
= 104
Step2:
LCM(104, 840) = 10920
GCD(104, 840) = ( 104 x 840 ) / 10920
= 104 / 840
= 104
So, Greatest Common Divisor of 104, 728, 840 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 728, 840
The greatest common divisor of numbers 104, 728, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 728, 840 is 8.
1. What is the GCD of 104, 728, 840?
GCD of given numbers 104, 728, 840 is 8
2. How to calculate the greatest common divisor of 104, 728, 840?
We can find the highest common divisor of 104, 728, 840 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 104, 728, 840 i.e 8.
3. How can I use the GCD of 104, 728, 840Calculator?
Out the numbers 104, 728, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.