Online GCD Calculator is useful to find the GCD of 720, 474, 462, 104 quickly. Get the easiest ways to solve the greatest common divisor of 720, 474, 462, 104 i.e 2 in different methods as follows.
Given Input numbers are 720, 474, 462, 104
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
GCD of numbers is the greatest common divisor
So, the GCD (720, 474, 462, 104) = 2.
Given numbers are 720, 474, 462, 104
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 104 are 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 720, 474, 462, 104 is 2.
Given numbers are 720, 474, 462, 104
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 474) = 56880
GCD(720, 474) = ( 720 x 474 ) / 56880
= 720 / 474
= 720
Step2:
LCM(6, 462) = 462
GCD(6, 462) = ( 6 x 462 ) / 462
= 6 / 462
= 6
Step3:
LCM(6, 104) = 312
GCD(6, 104) = ( 6 x 104 ) / 312
= 6 / 104
= 6
So, Greatest Common Divisor of 720, 474, 462, 104 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 474, 462, 104
The greatest common divisor of numbers 720, 474, 462, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 474, 462, 104 is 2.
1. What is the GCD of 720, 474, 462, 104?
GCD of given numbers 720, 474, 462, 104 is 2
2. How to calculate the greatest common divisor of 720, 474, 462, 104?
We can find the highest common divisor of 720, 474, 462, 104 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 720, 474, 462, 104 i.e 2.
3. How can I use the GCD of 720, 474, 462, 104Calculator?
Out the numbers 720, 474, 462, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.