Online GCD Calculator is useful to find the GCD of 704, 489, 116, 316 quickly. Get the easiest ways to solve the greatest common divisor of 704, 489, 116, 316 i.e 1 in different methods as follows.
Given Input numbers are 704, 489, 116, 316
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 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (704, 489, 116, 316) = 1.
Given numbers are 704, 489, 116, 316
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 489 are 3 x 163
Prime factors of 116 are 2 x 2 x 29
Prime factors of 316 are 2 x 2 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 489, 116, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 489) = 344256
GCD(704, 489) = ( 704 x 489 ) / 344256
= 704 / 489
= 704
Step2:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
Step3:
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
= 1 / 316
= 1
So, Greatest Common Divisor of 704, 489, 116, 316 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 489, 116, 316
The greatest common divisor of numbers 704, 489, 116, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 489, 116, 316 is 1.
1. What is the GCD of 704, 489, 116, 316?
GCD of given numbers 704, 489, 116, 316 is 1
2. How to calculate the greatest common divisor of 704, 489, 116, 316?
We can find the highest common divisor of 704, 489, 116, 316 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, 489, 116, 316 i.e 1.
3. How can I use the GCD of 704, 489, 116, 316Calculator?
Out the numbers 704, 489, 116, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.