Online GCD Calculator is useful to find the GCD of 480, 110, 366, 616 quickly. Get the easiest ways to solve the greatest common divisor of 480, 110, 366, 616 i.e 2 in different methods as follows.
Given Input numbers are 480, 110, 366, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (480, 110, 366, 616) = 2.
Given numbers are 480, 110, 366, 616
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 110 are 2 x 5 x 11
Prime factors of 366 are 2 x 3 x 61
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 480, 110, 366, 616 is 2.
Given numbers are 480, 110, 366, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 110) = 5280
GCD(480, 110) = ( 480 x 110 ) / 5280
= 480 / 110
= 480
Step2:
LCM(10, 366) = 1830
GCD(10, 366) = ( 10 x 366 ) / 1830
= 10 / 366
= 10
Step3:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
So, Greatest Common Divisor of 480, 110, 366, 616 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 110, 366, 616
The greatest common divisor of numbers 480, 110, 366, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 110, 366, 616 is 2.
1. What is the GCD of 480, 110, 366, 616?
GCD of given numbers 480, 110, 366, 616 is 2
2. How to calculate the greatest common divisor of 480, 110, 366, 616?
We can find the highest common divisor of 480, 110, 366, 616 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 480, 110, 366, 616 i.e 2.
3. How can I use the GCD of 480, 110, 366, 616Calculator?
Out the numbers 480, 110, 366, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.