Online GCD Calculator is useful to find the GCD of 784, 231, 660, 999 quickly. Get the easiest ways to solve the greatest common divisor of 784, 231, 660, 999 i.e 1 in different methods as follows.
Given Input numbers are 784, 231, 660, 999
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 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (784, 231, 660, 999) = 1.
Given numbers are 784, 231, 660, 999
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 231 are 3 x 7 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 999 are 3 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 231, 660, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 231) = 25872
GCD(784, 231) = ( 784 x 231 ) / 25872
= 784 / 231
= 784
Step2:
LCM(7, 660) = 4620
GCD(7, 660) = ( 7 x 660 ) / 4620
= 7 / 660
= 7
Step3:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
So, Greatest Common Divisor of 784, 231, 660, 999 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 231, 660, 999
The greatest common divisor of numbers 784, 231, 660, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 231, 660, 999 is 1.
1. What is the GCD of 784, 231, 660, 999?
GCD of given numbers 784, 231, 660, 999 is 1
2. How to calculate the greatest common divisor of 784, 231, 660, 999?
We can find the highest common divisor of 784, 231, 660, 999 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, 231, 660, 999 i.e 1.
3. How can I use the GCD of 784, 231, 660, 999Calculator?
Out the numbers 784, 231, 660, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.