Online GCD Calculator is useful to find the GCD of 904, 112, 588, 784 quickly. Get the easiest ways to solve the greatest common divisor of 904, 112, 588, 784 i.e 4 in different methods as follows.
Given Input numbers are 904, 112, 588, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (904, 112, 588, 784) = 4.
Given numbers are 904, 112, 588, 784
The list of prime factors of all numbers are
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 904, 112, 588, 784 is 4.
Given numbers are 904, 112, 588, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(904, 112) = 12656
GCD(904, 112) = ( 904 x 112 ) / 12656
= 904 / 112
= 904
Step2:
LCM(8, 588) = 1176
GCD(8, 588) = ( 8 x 588 ) / 1176
= 8 / 588
= 8
Step3:
LCM(4, 784) = 784
GCD(4, 784) = ( 4 x 784 ) / 784
= 4 / 784
= 4
So, Greatest Common Divisor of 904, 112, 588, 784 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 904, 112, 588, 784
The greatest common divisor of numbers 904, 112, 588, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 112, 588, 784 is 4.
1. What is the GCD of 904, 112, 588, 784?
GCD of given numbers 904, 112, 588, 784 is 4
2. How to calculate the greatest common divisor of 904, 112, 588, 784?
We can find the highest common divisor of 904, 112, 588, 784 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 904, 112, 588, 784 i.e 4.
3. How can I use the GCD of 904, 112, 588, 784Calculator?
Out the numbers 904, 112, 588, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.