Online GCD Calculator is useful to find the GCD of 380, 456, 351, 148 quickly. Get the easiest ways to solve the greatest common divisor of 380, 456, 351, 148 i.e 1 in different methods as follows.
Given Input numbers are 380, 456, 351, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (380, 456, 351, 148) = 1.
Given numbers are 380, 456, 351, 148
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 148 are 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 380, 456, 351, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 456) = 2280
GCD(380, 456) = ( 380 x 456 ) / 2280
= 380 / 456
= 380
Step2:
LCM(76, 351) = 26676
GCD(76, 351) = ( 76 x 351 ) / 26676
= 76 / 351
= 76
Step3:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
So, Greatest Common Divisor of 380, 456, 351, 148 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 456, 351, 148
The greatest common divisor of numbers 380, 456, 351, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 456, 351, 148 is 1.
1. What is the GCD of 380, 456, 351, 148?
GCD of given numbers 380, 456, 351, 148 is 1
2. How to calculate the greatest common divisor of 380, 456, 351, 148?
We can find the highest common divisor of 380, 456, 351, 148 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 380, 456, 351, 148 i.e 1.
3. How can I use the GCD of 380, 456, 351, 148Calculator?
Out the numbers 380, 456, 351, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.