Online GCD Calculator is useful to find the GCD of 736, 578, 990, 916 quickly. Get the easiest ways to solve the greatest common divisor of 736, 578, 990, 916 i.e 2 in different methods as follows.
Given Input numbers are 736, 578, 990, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (736, 578, 990, 916) = 2.
Given numbers are 736, 578, 990, 916
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 578 are 2 x 17 x 17
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 736, 578, 990, 916 is 2.
Given numbers are 736, 578, 990, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 578) = 212704
GCD(736, 578) = ( 736 x 578 ) / 212704
= 736 / 578
= 736
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
So, Greatest Common Divisor of 736, 578, 990, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 578, 990, 916
The greatest common divisor of numbers 736, 578, 990, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 578, 990, 916 is 2.
1. What is the GCD of 736, 578, 990, 916?
GCD of given numbers 736, 578, 990, 916 is 2
2. How to calculate the greatest common divisor of 736, 578, 990, 916?
We can find the highest common divisor of 736, 578, 990, 916 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 736, 578, 990, 916 i.e 2.
3. How can I use the GCD of 736, 578, 990, 916Calculator?
Out the numbers 736, 578, 990, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.