Online GCD Calculator is useful to find the GCD of 130, 930, 109, 461 quickly. Get the easiest ways to solve the greatest common divisor of 130, 930, 109, 461 i.e 1 in different methods as follows.
Given Input numbers are 130, 930, 109, 461
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (130, 930, 109, 461) = 1.
Given numbers are 130, 930, 109, 461
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 109 are 109
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 930, 109, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 930) = 12090
GCD(130, 930) = ( 130 x 930 ) / 12090
= 130 / 930
= 130
Step2:
LCM(10, 109) = 1090
GCD(10, 109) = ( 10 x 109 ) / 1090
= 10 / 109
= 10
Step3:
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
= 1 / 461
= 1
So, Greatest Common Divisor of 130, 930, 109, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 930, 109, 461
The greatest common divisor of numbers 130, 930, 109, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 930, 109, 461 is 1.
1. What is the GCD of 130, 930, 109, 461?
GCD of given numbers 130, 930, 109, 461 is 1
2. How to calculate the greatest common divisor of 130, 930, 109, 461?
We can find the highest common divisor of 130, 930, 109, 461 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 130, 930, 109, 461 i.e 1.
3. How can I use the GCD of 130, 930, 109, 461Calculator?
Out the numbers 130, 930, 109, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.