Online GCD Calculator is useful to find the GCD of 231, 180, 755, 130 quickly. Get the easiest ways to solve the greatest common divisor of 231, 180, 755, 130 i.e 1 in different methods as follows.
Given Input numbers are 231, 180, 755, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (231, 180, 755, 130) = 1.
Given numbers are 231, 180, 755, 130
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 755 are 5 x 151
Prime factors of 130 are 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 180, 755, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 180) = 13860
GCD(231, 180) = ( 231 x 180 ) / 13860
= 231 / 180
= 231
Step2:
LCM(3, 755) = 2265
GCD(3, 755) = ( 3 x 755 ) / 2265
= 3 / 755
= 3
Step3:
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
= 1 / 130
= 1
So, Greatest Common Divisor of 231, 180, 755, 130 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 180, 755, 130
The greatest common divisor of numbers 231, 180, 755, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 180, 755, 130 is 1.
1. What is the GCD of 231, 180, 755, 130?
GCD of given numbers 231, 180, 755, 130 is 1
2. How to calculate the greatest common divisor of 231, 180, 755, 130?
We can find the highest common divisor of 231, 180, 755, 130 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 231, 180, 755, 130 i.e 1.
3. How can I use the GCD of 231, 180, 755, 130Calculator?
Out the numbers 231, 180, 755, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.