Online GCD Calculator is useful to find the GCD of 349, 722, 352, 999 quickly. Get the easiest ways to solve the greatest common divisor of 349, 722, 352, 999 i.e 1 in different methods as follows.
Given Input numbers are 349, 722, 352, 999
In the factoring method, we have to find the divisors of all numbers
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (349, 722, 352, 999) = 1.
Given numbers are 349, 722, 352, 999
The list of prime factors of all numbers are
Prime factors of 349 are 349
Prime factors of 722 are 2 x 19 x 19
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 999 are 3 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 349, 722, 352, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(349, 722) = 251978
GCD(349, 722) = ( 349 x 722 ) / 251978
= 349 / 722
= 349
Step2:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
Step3:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
So, Greatest Common Divisor of 349, 722, 352, 999 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 349, 722, 352, 999
The greatest common divisor of numbers 349, 722, 352, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 722, 352, 999 is 1.
1. What is the GCD of 349, 722, 352, 999?
GCD of given numbers 349, 722, 352, 999 is 1
2. How to calculate the greatest common divisor of 349, 722, 352, 999?
We can find the highest common divisor of 349, 722, 352, 999 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 349, 722, 352, 999 i.e 1.
3. How can I use the GCD of 349, 722, 352, 999Calculator?
Out the numbers 349, 722, 352, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.