Online GCD Calculator is useful to find the GCD of 152, 314, 960, 427 quickly. Get the easiest ways to solve the greatest common divisor of 152, 314, 960, 427 i.e 1 in different methods as follows.
Given Input numbers are 152, 314, 960, 427
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
GCD of numbers is the greatest common divisor
So, the GCD (152, 314, 960, 427) = 1.
Given numbers are 152, 314, 960, 427
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 314 are 2 x 157
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 427 are 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 152, 314, 960, 427
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 314) = 23864
GCD(152, 314) = ( 152 x 314 ) / 23864
= 152 / 314
= 152
Step2:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
Step3:
LCM(2, 427) = 854
GCD(2, 427) = ( 2 x 427 ) / 854
= 2 / 427
= 2
So, Greatest Common Divisor of 152, 314, 960, 427 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 314, 960, 427
The greatest common divisor of numbers 152, 314, 960, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 314, 960, 427 is 1.
1. What is the GCD of 152, 314, 960, 427?
GCD of given numbers 152, 314, 960, 427 is 1
2. How to calculate the greatest common divisor of 152, 314, 960, 427?
We can find the highest common divisor of 152, 314, 960, 427 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 152, 314, 960, 427 i.e 1.
3. How can I use the GCD of 152, 314, 960, 427Calculator?
Out the numbers 152, 314, 960, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.