Online GCD Calculator is useful to find the GCD of 784, 884, 904, 712 quickly. Get the easiest ways to solve the greatest common divisor of 784, 884, 904, 712 i.e 4 in different methods as follows.
Given Input numbers are 784, 884, 904, 712
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (784, 884, 904, 712) = 4.
Given numbers are 784, 884, 904, 712
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 712 are 2 x 2 x 2 x 89
The highest common occurrence is 22
Therefore, GCD of 784, 884, 904, 712 is 4.
Given numbers are 784, 884, 904, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 884) = 173264
GCD(784, 884) = ( 784 x 884 ) / 173264
= 784 / 884
= 784
Step2:
LCM(4, 904) = 904
GCD(4, 904) = ( 4 x 904 ) / 904
= 4 / 904
= 4
Step3:
LCM(4, 712) = 712
GCD(4, 712) = ( 4 x 712 ) / 712
= 4 / 712
= 4
So, Greatest Common Divisor of 784, 884, 904, 712 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 884, 904, 712
The greatest common divisor of numbers 784, 884, 904, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 884, 904, 712 is 4.
1. What is the GCD of 784, 884, 904, 712?
GCD of given numbers 784, 884, 904, 712 is 4
2. How to calculate the greatest common divisor of 784, 884, 904, 712?
We can find the highest common divisor of 784, 884, 904, 712 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 784, 884, 904, 712 i.e 4.
3. How can I use the GCD of 784, 884, 904, 712Calculator?
Out the numbers 784, 884, 904, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.