Online GCD Calculator is useful to find the GCD of 320, 274, 375, 381 quickly. Get the easiest ways to solve the greatest common divisor of 320, 274, 375, 381 i.e 1 in different methods as follows.
Given Input numbers are 320, 274, 375, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (320, 274, 375, 381) = 1.
Given numbers are 320, 274, 375, 381
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 274 are 2 x 137
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 381 are 3 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 320, 274, 375, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 274) = 43840
GCD(320, 274) = ( 320 x 274 ) / 43840
= 320 / 274
= 320
Step2:
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
= 2 / 375
= 2
Step3:
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
= 1 / 381
= 1
So, Greatest Common Divisor of 320, 274, 375, 381 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 274, 375, 381
The greatest common divisor of numbers 320, 274, 375, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 274, 375, 381 is 1.
1. What is the GCD of 320, 274, 375, 381?
GCD of given numbers 320, 274, 375, 381 is 1
2. How to calculate the greatest common divisor of 320, 274, 375, 381?
We can find the highest common divisor of 320, 274, 375, 381 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 320, 274, 375, 381 i.e 1.
3. How can I use the GCD of 320, 274, 375, 381Calculator?
Out the numbers 320, 274, 375, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.