Online GCD Calculator is useful to find the GCD of 338, 343, 159, 423 quickly. Get the easiest ways to solve the greatest common divisor of 338, 343, 159, 423 i.e 1 in different methods as follows.
Given Input numbers are 338, 343, 159, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (338, 343, 159, 423) = 1.
Given numbers are 338, 343, 159, 423
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 343 are 7 x 7 x 7
Prime factors of 159 are 3 x 53
Prime factors of 423 are 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 343, 159, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 343) = 115934
GCD(338, 343) = ( 338 x 343 ) / 115934
= 338 / 343
= 338
Step2:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
Step3:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
So, Greatest Common Divisor of 338, 343, 159, 423 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 343, 159, 423
The greatest common divisor of numbers 338, 343, 159, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 343, 159, 423 is 1.
1. What is the GCD of 338, 343, 159, 423?
GCD of given numbers 338, 343, 159, 423 is 1
2. How to calculate the greatest common divisor of 338, 343, 159, 423?
We can find the highest common divisor of 338, 343, 159, 423 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 338, 343, 159, 423 i.e 1.
3. How can I use the GCD of 338, 343, 159, 423Calculator?
Out the numbers 338, 343, 159, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.