Online GCD Calculator is useful to find the GCD of 378, 130, 114, 403 quickly. Get the easiest ways to solve the greatest common divisor of 378, 130, 114, 403 i.e 1 in different methods as follows.
Given Input numbers are 378, 130, 114, 403
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
GCD of numbers is the greatest common divisor
So, the GCD (378, 130, 114, 403) = 1.
Given numbers are 378, 130, 114, 403
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 130 are 2 x 5 x 13
Prime factors of 114 are 2 x 3 x 19
Prime factors of 403 are 13 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 130, 114, 403
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 130) = 24570
GCD(378, 130) = ( 378 x 130 ) / 24570
= 378 / 130
= 378
Step2:
LCM(2, 114) = 114
GCD(2, 114) = ( 2 x 114 ) / 114
= 2 / 114
= 2
Step3:
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
= 2 / 403
= 2
So, Greatest Common Divisor of 378, 130, 114, 403 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 130, 114, 403
The greatest common divisor of numbers 378, 130, 114, 403 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 130, 114, 403 is 1.
1. What is the GCD of 378, 130, 114, 403?
GCD of given numbers 378, 130, 114, 403 is 1
2. How to calculate the greatest common divisor of 378, 130, 114, 403?
We can find the highest common divisor of 378, 130, 114, 403 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 378, 130, 114, 403 i.e 1.
3. How can I use the GCD of 378, 130, 114, 403Calculator?
Out the numbers 378, 130, 114, 403 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.