Online GCD Calculator is useful to find the GCD of 342, 105, 626, 146 quickly. Get the easiest ways to solve the greatest common divisor of 342, 105, 626, 146 i.e 1 in different methods as follows.
Given Input numbers are 342, 105, 626, 146
In the factoring method, we have to find the divisors of all numbers
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 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
GCD of numbers is the greatest common divisor
So, the GCD (342, 105, 626, 146) = 1.
Given numbers are 342, 105, 626, 146
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 105 are 3 x 5 x 7
Prime factors of 626 are 2 x 313
Prime factors of 146 are 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 105, 626, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 105) = 11970
GCD(342, 105) = ( 342 x 105 ) / 11970
= 342 / 105
= 342
Step2:
LCM(3, 626) = 1878
GCD(3, 626) = ( 3 x 626 ) / 1878
= 3 / 626
= 3
Step3:
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
= 1 / 146
= 1
So, Greatest Common Divisor of 342, 105, 626, 146 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 105, 626, 146
The greatest common divisor of numbers 342, 105, 626, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 105, 626, 146 is 1.
1. What is the GCD of 342, 105, 626, 146?
GCD of given numbers 342, 105, 626, 146 is 1
2. How to calculate the greatest common divisor of 342, 105, 626, 146?
We can find the highest common divisor of 342, 105, 626, 146 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 342, 105, 626, 146 i.e 1.
3. How can I use the GCD of 342, 105, 626, 146Calculator?
Out the numbers 342, 105, 626, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.