Online GCD Calculator is useful to find the GCD of 482, 728, 724, 918 quickly. Get the easiest ways to solve the greatest common divisor of 482, 728, 724, 918 i.e 2 in different methods as follows.
Given Input numbers are 482, 728, 724, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (482, 728, 724, 918) = 2.
Given numbers are 482, 728, 724, 918
The list of prime factors of all numbers are
Prime factors of 482 are 2 x 241
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 724 are 2 x 2 x 181
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 482, 728, 724, 918 is 2.
Given numbers are 482, 728, 724, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(482, 728) = 175448
GCD(482, 728) = ( 482 x 728 ) / 175448
= 482 / 728
= 482
Step2:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 482, 728, 724, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 482, 728, 724, 918
The greatest common divisor of numbers 482, 728, 724, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 728, 724, 918 is 2.
1. What is the GCD of 482, 728, 724, 918?
GCD of given numbers 482, 728, 724, 918 is 2
2. How to calculate the greatest common divisor of 482, 728, 724, 918?
We can find the highest common divisor of 482, 728, 724, 918 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 482, 728, 724, 918 i.e 2.
3. How can I use the GCD of 482, 728, 724, 918Calculator?
Out the numbers 482, 728, 724, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.