Online GCD Calculator is useful to find the GCD of 784, 390, 366, 404 quickly. Get the easiest ways to solve the greatest common divisor of 784, 390, 366, 404 i.e 2 in different methods as follows.
Given Input numbers are 784, 390, 366, 404
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (784, 390, 366, 404) = 2.
Given numbers are 784, 390, 366, 404
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 390 are 2 x 3 x 5 x 13
Prime factors of 366 are 2 x 3 x 61
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 784, 390, 366, 404 is 2.
Given numbers are 784, 390, 366, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 390) = 152880
GCD(784, 390) = ( 784 x 390 ) / 152880
= 784 / 390
= 784
Step2:
LCM(2, 366) = 366
GCD(2, 366) = ( 2 x 366 ) / 366
= 2 / 366
= 2
Step3:
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
= 2 / 404
= 2
So, Greatest Common Divisor of 784, 390, 366, 404 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 390, 366, 404
The greatest common divisor of numbers 784, 390, 366, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 390, 366, 404 is 2.
1. What is the GCD of 784, 390, 366, 404?
GCD of given numbers 784, 390, 366, 404 is 2
2. How to calculate the greatest common divisor of 784, 390, 366, 404?
We can find the highest common divisor of 784, 390, 366, 404 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, 390, 366, 404 i.e 2.
3. How can I use the GCD of 784, 390, 366, 404Calculator?
Out the numbers 784, 390, 366, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.