Online GCD Calculator is useful to find the GCD of 112, 353, 304, 348 quickly. Get the easiest ways to solve the greatest common divisor of 112, 353, 304, 348 i.e 1 in different methods as follows.
Given Input numbers are 112, 353, 304, 348
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (112, 353, 304, 348) = 1.
Given numbers are 112, 353, 304, 348
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 353 are 353
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 348 are 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 353, 304, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 353) = 39536
GCD(112, 353) = ( 112 x 353 ) / 39536
= 112 / 353
= 112
Step2:
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
= 1 / 304
= 1
Step3:
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
= 1 / 348
= 1
So, Greatest Common Divisor of 112, 353, 304, 348 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 353, 304, 348
The greatest common divisor of numbers 112, 353, 304, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 353, 304, 348 is 1.
1. What is the GCD of 112, 353, 304, 348?
GCD of given numbers 112, 353, 304, 348 is 1
2. How to calculate the greatest common divisor of 112, 353, 304, 348?
We can find the highest common divisor of 112, 353, 304, 348 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 112, 353, 304, 348 i.e 1.
3. How can I use the GCD of 112, 353, 304, 348Calculator?
Out the numbers 112, 353, 304, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.