Online GCD Calculator is useful to find the GCD of 344, 764, 105, 359 quickly. Get the easiest ways to solve the greatest common divisor of 344, 764, 105, 359 i.e 1 in different methods as follows.
Given Input numbers are 344, 764, 105, 359
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
GCD of numbers is the greatest common divisor
So, the GCD (344, 764, 105, 359) = 1.
Given numbers are 344, 764, 105, 359
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 764 are 2 x 2 x 191
Prime factors of 105 are 3 x 5 x 7
Prime factors of 359 are 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 344, 764, 105, 359
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 764) = 65704
GCD(344, 764) = ( 344 x 764 ) / 65704
= 344 / 764
= 344
Step2:
LCM(4, 105) = 420
GCD(4, 105) = ( 4 x 105 ) / 420
= 4 / 105
= 4
Step3:
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
= 1 / 359
= 1
So, Greatest Common Divisor of 344, 764, 105, 359 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 764, 105, 359
The greatest common divisor of numbers 344, 764, 105, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 764, 105, 359 is 1.
1. What is the GCD of 344, 764, 105, 359?
GCD of given numbers 344, 764, 105, 359 is 1
2. How to calculate the greatest common divisor of 344, 764, 105, 359?
We can find the highest common divisor of 344, 764, 105, 359 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 344, 764, 105, 359 i.e 1.
3. How can I use the GCD of 344, 764, 105, 359Calculator?
Out the numbers 344, 764, 105, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.