Online GCD Calculator is useful to find the GCD of 105, 334, 348, 335 quickly. Get the easiest ways to solve the greatest common divisor of 105, 334, 348, 335 i.e 1 in different methods as follows.
Given Input numbers are 105, 334, 348, 335
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 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
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
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
GCD of numbers is the greatest common divisor
So, the GCD (105, 334, 348, 335) = 1.
Given numbers are 105, 334, 348, 335
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 334 are 2 x 167
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 335 are 5 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 334, 348, 335
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 334) = 35070
GCD(105, 334) = ( 105 x 334 ) / 35070
= 105 / 334
= 105
Step2:
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
= 1 / 348
= 1
Step3:
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
= 1 / 335
= 1
So, Greatest Common Divisor of 105, 334, 348, 335 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 334, 348, 335
The greatest common divisor of numbers 105, 334, 348, 335 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 334, 348, 335 is 1.
1. What is the GCD of 105, 334, 348, 335?
GCD of given numbers 105, 334, 348, 335 is 1
2. How to calculate the greatest common divisor of 105, 334, 348, 335?
We can find the highest common divisor of 105, 334, 348, 335 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, 334, 348, 335 i.e 1.
3. How can I use the GCD of 105, 334, 348, 335Calculator?
Out the numbers 105, 334, 348, 335 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.