Online GCD Calculator is useful to find the GCD of 338, 705, 441, 468 quickly. Get the easiest ways to solve the greatest common divisor of 338, 705, 441, 468 i.e 1 in different methods as follows.
Given Input numbers are 338, 705, 441, 468
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (338, 705, 441, 468) = 1.
Given numbers are 338, 705, 441, 468
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 705 are 3 x 5 x 47
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 705, 441, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 705) = 238290
GCD(338, 705) = ( 338 x 705 ) / 238290
= 338 / 705
= 338
Step2:
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
= 1 / 441
= 1
Step3:
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
= 1 / 468
= 1
So, Greatest Common Divisor of 338, 705, 441, 468 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 705, 441, 468
The greatest common divisor of numbers 338, 705, 441, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 705, 441, 468 is 1.
1. What is the GCD of 338, 705, 441, 468?
GCD of given numbers 338, 705, 441, 468 is 1
2. How to calculate the greatest common divisor of 338, 705, 441, 468?
We can find the highest common divisor of 338, 705, 441, 468 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, 705, 441, 468 i.e 1.
3. How can I use the GCD of 338, 705, 441, 468Calculator?
Out the numbers 338, 705, 441, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.