Online GCD Calculator is useful to find the GCD of 704, 110, 398, 928 quickly. Get the easiest ways to solve the greatest common divisor of 704, 110, 398, 928 i.e 2 in different methods as follows.
Given Input numbers are 704, 110, 398, 928
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (704, 110, 398, 928) = 2.
Given numbers are 704, 110, 398, 928
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 110 are 2 x 5 x 11
Prime factors of 398 are 2 x 199
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 704, 110, 398, 928 is 2.
Given numbers are 704, 110, 398, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 110) = 3520
GCD(704, 110) = ( 704 x 110 ) / 3520
= 704 / 110
= 704
Step2:
LCM(22, 398) = 4378
GCD(22, 398) = ( 22 x 398 ) / 4378
= 22 / 398
= 22
Step3:
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
= 2 / 928
= 2
So, Greatest Common Divisor of 704, 110, 398, 928 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 110, 398, 928
The greatest common divisor of numbers 704, 110, 398, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 110, 398, 928 is 2.
1. What is the GCD of 704, 110, 398, 928?
GCD of given numbers 704, 110, 398, 928 is 2
2. How to calculate the greatest common divisor of 704, 110, 398, 928?
We can find the highest common divisor of 704, 110, 398, 928 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 704, 110, 398, 928 i.e 2.
3. How can I use the GCD of 704, 110, 398, 928Calculator?
Out the numbers 704, 110, 398, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.