Online GCD Calculator is useful to find the GCD of 871, 612, 234, 216 quickly. Get the easiest ways to solve the greatest common divisor of 871, 612, 234, 216 i.e 1 in different methods as follows.
Given Input numbers are 871, 612, 234, 216
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (871, 612, 234, 216) = 1.
Given numbers are 871, 612, 234, 216
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 216 are 2 x 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, 612, 234, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 612) = 533052
GCD(871, 612) = ( 871 x 612 ) / 533052
= 871 / 612
= 871
Step2:
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
= 1 / 234
= 1
Step3:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
So, Greatest Common Divisor of 871, 612, 234, 216 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 612, 234, 216
The greatest common divisor of numbers 871, 612, 234, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 612, 234, 216 is 1.
1. What is the GCD of 871, 612, 234, 216?
GCD of given numbers 871, 612, 234, 216 is 1
2. How to calculate the greatest common divisor of 871, 612, 234, 216?
We can find the highest common divisor of 871, 612, 234, 216 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, 612, 234, 216 i.e 1.
3. How can I use the GCD of 871, 612, 234, 216Calculator?
Out the numbers 871, 612, 234, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.