Online GCD Calculator is useful to find the GCD of 398, 130, 305, 352 quickly. Get the easiest ways to solve the greatest common divisor of 398, 130, 305, 352 i.e 1 in different methods as follows.
Given Input numbers are 398, 130, 305, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
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
GCD of numbers is the greatest common divisor
So, the GCD (398, 130, 305, 352) = 1.
Given numbers are 398, 130, 305, 352
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 130 are 2 x 5 x 13
Prime factors of 305 are 5 x 61
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 130, 305, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 130) = 25870
GCD(398, 130) = ( 398 x 130 ) / 25870
= 398 / 130
= 398
Step2:
LCM(2, 305) = 610
GCD(2, 305) = ( 2 x 305 ) / 610
= 2 / 305
= 2
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 398, 130, 305, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 130, 305, 352
The greatest common divisor of numbers 398, 130, 305, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 130, 305, 352 is 1.
1. What is the GCD of 398, 130, 305, 352?
GCD of given numbers 398, 130, 305, 352 is 1
2. How to calculate the greatest common divisor of 398, 130, 305, 352?
We can find the highest common divisor of 398, 130, 305, 352 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 398, 130, 305, 352 i.e 1.
3. How can I use the GCD of 398, 130, 305, 352Calculator?
Out the numbers 398, 130, 305, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.