Online GCD Calculator is useful to find the GCD of 116, 684, 500, 997 quickly. Get the easiest ways to solve the greatest common divisor of 116, 684, 500, 997 i.e 1 in different methods as follows.
Given Input numbers are 116, 684, 500, 997
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (116, 684, 500, 997) = 1.
Given numbers are 116, 684, 500, 997
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 684, 500, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 684) = 19836
GCD(116, 684) = ( 116 x 684 ) / 19836
= 116 / 684
= 116
Step2:
LCM(4, 500) = 500
GCD(4, 500) = ( 4 x 500 ) / 500
= 4 / 500
= 4
Step3:
LCM(4, 997) = 3988
GCD(4, 997) = ( 4 x 997 ) / 3988
= 4 / 997
= 4
So, Greatest Common Divisor of 116, 684, 500, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 684, 500, 997
The greatest common divisor of numbers 116, 684, 500, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 684, 500, 997 is 1.
1. What is the GCD of 116, 684, 500, 997?
GCD of given numbers 116, 684, 500, 997 is 1
2. How to calculate the greatest common divisor of 116, 684, 500, 997?
We can find the highest common divisor of 116, 684, 500, 997 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, 684, 500, 997 i.e 1.
3. How can I use the GCD of 116, 684, 500, 997Calculator?
Out the numbers 116, 684, 500, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.