Online GCD Calculator is useful to find the GCD of 130, 102, 82, 827 quickly. Get the easiest ways to solve the greatest common divisor of 130, 102, 82, 827 i.e 1 in different methods as follows.
Given Input numbers are 130, 102, 82, 827
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 82 :
The positive integer divisors of 82 that completely divides 82 are.
1, 2, 41, 82
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
GCD of numbers is the greatest common divisor
So, the GCD (130, 102, 82, 827) = 1.
Given numbers are 130, 102, 82, 827
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 102 are 2 x 3 x 17
Prime factors of 82 are 2 x 41
Prime factors of 827 are 827
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 102, 82, 827
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 102) = 6630
GCD(130, 102) = ( 130 x 102 ) / 6630
= 130 / 102
= 130
Step2:
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
= 2 / 82
= 2
Step3:
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
= 2 / 827
= 2
So, Greatest Common Divisor of 130, 102, 82, 827 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 102, 82, 827
The greatest common divisor of numbers 130, 102, 82, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 102, 82, 827 is 1.
1. What is the GCD of 130, 102, 82, 827?
GCD of given numbers 130, 102, 82, 827 is 1
2. How to calculate the greatest common divisor of 130, 102, 82, 827?
We can find the highest common divisor of 130, 102, 82, 827 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, 102, 82, 827 i.e 1.
3. How can I use the GCD of 130, 102, 82, 827Calculator?
Out the numbers 130, 102, 82, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.