Online GCD Calculator is useful to find the GCD of 704, 395, 304, 282 quickly. Get the easiest ways to solve the greatest common divisor of 704, 395, 304, 282 i.e 1 in different methods as follows.
Given Input numbers are 704, 395, 304, 282
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 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (704, 395, 304, 282) = 1.
Given numbers are 704, 395, 304, 282
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 395 are 5 x 79
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 282 are 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 395, 304, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 395) = 278080
GCD(704, 395) = ( 704 x 395 ) / 278080
= 704 / 395
= 704
Step2:
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
= 1 / 304
= 1
Step3:
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
= 1 / 282
= 1
So, Greatest Common Divisor of 704, 395, 304, 282 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 395, 304, 282
The greatest common divisor of numbers 704, 395, 304, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 395, 304, 282 is 1.
1. What is the GCD of 704, 395, 304, 282?
GCD of given numbers 704, 395, 304, 282 is 1
2. How to calculate the greatest common divisor of 704, 395, 304, 282?
We can find the highest common divisor of 704, 395, 304, 282 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, 395, 304, 282 i.e 1.
3. How can I use the GCD of 704, 395, 304, 282Calculator?
Out the numbers 704, 395, 304, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.