Online GCD Calculator is useful to find the GCD of 353, 363, 814, 342 quickly. Get the easiest ways to solve the greatest common divisor of 353, 363, 814, 342 i.e 1 in different methods as follows.
Given Input numbers are 353, 363, 814, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (353, 363, 814, 342) = 1.
Given numbers are 353, 363, 814, 342
The list of prime factors of all numbers are
Prime factors of 353 are 353
Prime factors of 363 are 3 x 11 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 353, 363, 814, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(353, 363) = 128139
GCD(353, 363) = ( 353 x 363 ) / 128139
= 353 / 363
= 353
Step2:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 353, 363, 814, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 353, 363, 814, 342
The greatest common divisor of numbers 353, 363, 814, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 363, 814, 342 is 1.
1. What is the GCD of 353, 363, 814, 342?
GCD of given numbers 353, 363, 814, 342 is 1
2. How to calculate the greatest common divisor of 353, 363, 814, 342?
We can find the highest common divisor of 353, 363, 814, 342 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 353, 363, 814, 342 i.e 1.
3. How can I use the GCD of 353, 363, 814, 342Calculator?
Out the numbers 353, 363, 814, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.