Online GCD Calculator is useful to find the GCD of 114, 173, 198, 820 quickly. Get the easiest ways to solve the greatest common divisor of 114, 173, 198, 820 i.e 1 in different methods as follows.
Given Input numbers are 114, 173, 198, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 173 :
The positive integer divisors of 173 that completely divides 173 are.
1, 173
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (114, 173, 198, 820) = 1.
Given numbers are 114, 173, 198, 820
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 173 are 173
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 173, 198, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 173) = 19722
GCD(114, 173) = ( 114 x 173 ) / 19722
= 114 / 173
= 114
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 114, 173, 198, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 173, 198, 820
The greatest common divisor of numbers 114, 173, 198, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 173, 198, 820 is 1.
1. What is the GCD of 114, 173, 198, 820?
GCD of given numbers 114, 173, 198, 820 is 1
2. How to calculate the greatest common divisor of 114, 173, 198, 820?
We can find the highest common divisor of 114, 173, 198, 820 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 114, 173, 198, 820 i.e 1.
3. How can I use the GCD of 114, 173, 198, 820Calculator?
Out the numbers 114, 173, 198, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.