Online GCD Calculator is useful to find the GCD of 116, 216, 971, 304 quickly. Get the easiest ways to solve the greatest common divisor of 116, 216, 971, 304 i.e 1 in different methods as follows.
Given Input numbers are 116, 216, 971, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
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
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (116, 216, 971, 304) = 1.
Given numbers are 116, 216, 971, 304
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 971 are 971
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 216, 971, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 216) = 6264
GCD(116, 216) = ( 116 x 216 ) / 6264
= 116 / 216
= 116
Step2:
LCM(4, 971) = 3884
GCD(4, 971) = ( 4 x 971 ) / 3884
= 4 / 971
= 4
Step3:
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
= 1 / 304
= 1
So, Greatest Common Divisor of 116, 216, 971, 304 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 216, 971, 304
The greatest common divisor of numbers 116, 216, 971, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 216, 971, 304 is 1.
1. What is the GCD of 116, 216, 971, 304?
GCD of given numbers 116, 216, 971, 304 is 1
2. How to calculate the greatest common divisor of 116, 216, 971, 304?
We can find the highest common divisor of 116, 216, 971, 304 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 116, 216, 971, 304 i.e 1.
3. How can I use the GCD of 116, 216, 971, 304Calculator?
Out the numbers 116, 216, 971, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.