Online GCD Calculator is useful to find the GCD of 871, 104, 32, 108 quickly. Get the easiest ways to solve the greatest common divisor of 871, 104, 32, 108 i.e 1 in different methods as follows.
Given Input numbers are 871, 104, 32, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 32 :
The positive integer divisors of 32 that completely divides 32 are.
1, 2, 4, 8, 16, 32
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (871, 104, 32, 108) = 1.
Given numbers are 871, 104, 32, 108
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 32 are 2 x 2 x 2 x 2 x 2
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 871, 104, 32, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 104) = 6968
GCD(871, 104) = ( 871 x 104 ) / 6968
= 871 / 104
= 871
Step2:
LCM(13, 32) = 416
GCD(13, 32) = ( 13 x 32 ) / 416
= 13 / 32
= 13
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 871, 104, 32, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 104, 32, 108
The greatest common divisor of numbers 871, 104, 32, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 104, 32, 108 is 1.
1. What is the GCD of 871, 104, 32, 108?
GCD of given numbers 871, 104, 32, 108 is 1
2. How to calculate the greatest common divisor of 871, 104, 32, 108?
We can find the highest common divisor of 871, 104, 32, 108 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 871, 104, 32, 108 i.e 1.
3. How can I use the GCD of 871, 104, 32, 108Calculator?
Out the numbers 871, 104, 32, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.