Online GCD Calculator is useful to find the GCD of 304, 357, 706, 338 quickly. Get the easiest ways to solve the greatest common divisor of 304, 357, 706, 338 i.e 1 in different methods as follows.
Given Input numbers are 304, 357, 706, 338
In the factoring method, we have to find the divisors of all numbers
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (304, 357, 706, 338) = 1.
Given numbers are 304, 357, 706, 338
The list of prime factors of all numbers are
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 357 are 3 x 7 x 17
Prime factors of 706 are 2 x 353
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 304, 357, 706, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(304, 357) = 108528
GCD(304, 357) = ( 304 x 357 ) / 108528
= 304 / 357
= 304
Step2:
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
= 1 / 706
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 304, 357, 706, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 304, 357, 706, 338
The greatest common divisor of numbers 304, 357, 706, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 357, 706, 338 is 1.
1. What is the GCD of 304, 357, 706, 338?
GCD of given numbers 304, 357, 706, 338 is 1
2. How to calculate the greatest common divisor of 304, 357, 706, 338?
We can find the highest common divisor of 304, 357, 706, 338 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 304, 357, 706, 338 i.e 1.
3. How can I use the GCD of 304, 357, 706, 338Calculator?
Out the numbers 304, 357, 706, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.