Online GCD Calculator is useful to find the GCD of 712, 165, 871 quickly. Get the easiest ways to solve the greatest common divisor of 712, 165, 871 i.e 1 in different methods as follows.
Given Input numbers are 712, 165, 871
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (712, 165, 871) = 1.
Given numbers are 712, 165, 871
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 165 are 3 x 5 x 11
Prime factors of 871 are 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 712, 165, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 165) = 117480
GCD(712, 165) = ( 712 x 165 ) / 117480
= 712 / 165
= 712
Step2:
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
= 1 / 871
= 1
So, Greatest Common Divisor of 712, 165, 871 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 165, 871
The greatest common divisor of numbers 712, 165, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 165, 871 is 1.
1. What is the GCD of 712, 165, 871?
GCD of given numbers 712, 165, 871 is 1
2. How to calculate the greatest common divisor of 712, 165, 871?
We can find the highest common divisor of 712, 165, 871 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 712, 165, 871 i.e 1.
3. How can I use the GCD of 712, 165, 871Calculator?
Out the numbers 712, 165, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.