Online GCD Calculator is useful to find the GCD of 116, 721, 880, 189 quickly. Get the easiest ways to solve the greatest common divisor of 116, 721, 880, 189 i.e 1 in different methods as follows.
Given Input numbers are 116, 721, 880, 189
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 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (116, 721, 880, 189) = 1.
Given numbers are 116, 721, 880, 189
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 721 are 7 x 103
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 721, 880, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 721) = 83636
GCD(116, 721) = ( 116 x 721 ) / 83636
= 116 / 721
= 116
Step2:
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
= 1 / 880
= 1
Step3:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 116, 721, 880, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 721, 880, 189
The greatest common divisor of numbers 116, 721, 880, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 721, 880, 189 is 1.
1. What is the GCD of 116, 721, 880, 189?
GCD of given numbers 116, 721, 880, 189 is 1
2. How to calculate the greatest common divisor of 116, 721, 880, 189?
We can find the highest common divisor of 116, 721, 880, 189 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, 721, 880, 189 i.e 1.
3. How can I use the GCD of 116, 721, 880, 189Calculator?
Out the numbers 116, 721, 880, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.