Online GCD Calculator is useful to find the GCD of 105, 342, 609, 241 quickly. Get the easiest ways to solve the greatest common divisor of 105, 342, 609, 241 i.e 1 in different methods as follows.
Given Input numbers are 105, 342, 609, 241
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 241 :
The positive integer divisors of 241 that completely divides 241 are.
1, 241
GCD of numbers is the greatest common divisor
So, the GCD (105, 342, 609, 241) = 1.
Given numbers are 105, 342, 609, 241
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 609 are 3 x 7 x 29
Prime factors of 241 are 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 342, 609, 241
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 342) = 11970
GCD(105, 342) = ( 105 x 342 ) / 11970
= 105 / 342
= 105
Step2:
LCM(3, 609) = 609
GCD(3, 609) = ( 3 x 609 ) / 609
= 3 / 609
= 3
Step3:
LCM(3, 241) = 723
GCD(3, 241) = ( 3 x 241 ) / 723
= 3 / 241
= 3
So, Greatest Common Divisor of 105, 342, 609, 241 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 342, 609, 241
The greatest common divisor of numbers 105, 342, 609, 241 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 342, 609, 241 is 1.
1. What is the GCD of 105, 342, 609, 241?
GCD of given numbers 105, 342, 609, 241 is 1
2. How to calculate the greatest common divisor of 105, 342, 609, 241?
We can find the highest common divisor of 105, 342, 609, 241 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 105, 342, 609, 241 i.e 1.
3. How can I use the GCD of 105, 342, 609, 241Calculator?
Out the numbers 105, 342, 609, 241 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.