Online GCD Calculator is useful to find the GCD of 343, 404, 999, 117 quickly. Get the easiest ways to solve the greatest common divisor of 343, 404, 999, 117 i.e 1 in different methods as follows.
Given Input numbers are 343, 404, 999, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (343, 404, 999, 117) = 1.
Given numbers are 343, 404, 999, 117
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 404 are 2 x 2 x 101
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 404, 999, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 404) = 138572
GCD(343, 404) = ( 343 x 404 ) / 138572
= 343 / 404
= 343
Step2:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 343, 404, 999, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 404, 999, 117
The greatest common divisor of numbers 343, 404, 999, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 404, 999, 117 is 1.
1. What is the GCD of 343, 404, 999, 117?
GCD of given numbers 343, 404, 999, 117 is 1
2. How to calculate the greatest common divisor of 343, 404, 999, 117?
We can find the highest common divisor of 343, 404, 999, 117 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 343, 404, 999, 117 i.e 1.
3. How can I use the GCD of 343, 404, 999, 117Calculator?
Out the numbers 343, 404, 999, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.