Online GCD Calculator is useful to find the GCD of 360, 232, 159, 791 quickly. Get the easiest ways to solve the greatest common divisor of 360, 232, 159, 791 i.e 1 in different methods as follows.
Given Input numbers are 360, 232, 159, 791
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
GCD of numbers is the greatest common divisor
So, the GCD (360, 232, 159, 791) = 1.
Given numbers are 360, 232, 159, 791
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 159 are 3 x 53
Prime factors of 791 are 7 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 232, 159, 791
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 232) = 10440
GCD(360, 232) = ( 360 x 232 ) / 10440
= 360 / 232
= 360
Step2:
LCM(8, 159) = 1272
GCD(8, 159) = ( 8 x 159 ) / 1272
= 8 / 159
= 8
Step3:
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
= 1 / 791
= 1
So, Greatest Common Divisor of 360, 232, 159, 791 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 232, 159, 791
The greatest common divisor of numbers 360, 232, 159, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 232, 159, 791 is 1.
1. What is the GCD of 360, 232, 159, 791?
GCD of given numbers 360, 232, 159, 791 is 1
2. How to calculate the greatest common divisor of 360, 232, 159, 791?
We can find the highest common divisor of 360, 232, 159, 791 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 360, 232, 159, 791 i.e 1.
3. How can I use the GCD of 360, 232, 159, 791Calculator?
Out the numbers 360, 232, 159, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.