Online GCD Calculator is useful to find the GCD of 460, 755, 361, 159 quickly. Get the easiest ways to solve the greatest common divisor of 460, 755, 361, 159 i.e 1 in different methods as follows.
Given Input numbers are 460, 755, 361, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (460, 755, 361, 159) = 1.
Given numbers are 460, 755, 361, 159
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 755 are 5 x 151
Prime factors of 361 are 19 x 19
Prime factors of 159 are 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 755, 361, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 755) = 69460
GCD(460, 755) = ( 460 x 755 ) / 69460
= 460 / 755
= 460
Step2:
LCM(5, 361) = 1805
GCD(5, 361) = ( 5 x 361 ) / 1805
= 5 / 361
= 5
Step3:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
So, Greatest Common Divisor of 460, 755, 361, 159 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 755, 361, 159
The greatest common divisor of numbers 460, 755, 361, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 755, 361, 159 is 1.
1. What is the GCD of 460, 755, 361, 159?
GCD of given numbers 460, 755, 361, 159 is 1
2. How to calculate the greatest common divisor of 460, 755, 361, 159?
We can find the highest common divisor of 460, 755, 361, 159 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 460, 755, 361, 159 i.e 1.
3. How can I use the GCD of 460, 755, 361, 159Calculator?
Out the numbers 460, 755, 361, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.