Online GCD Calculator is useful to find the GCD of 199, 723, 220 quickly. Get the easiest ways to solve the greatest common divisor of 199, 723, 220 i.e 1 in different methods as follows.
Given Input numbers are 199, 723, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (199, 723, 220) = 1.
Given numbers are 199, 723, 220
The list of prime factors of all numbers are
Prime factors of 199 are 199
Prime factors of 723 are 3 x 241
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 199, 723, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(199, 723) = 143877
GCD(199, 723) = ( 199 x 723 ) / 143877
= 199 / 723
= 199
Step2:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 199, 723, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 199, 723, 220
The greatest common divisor of numbers 199, 723, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 723, 220 is 1.
1. What is the GCD of 199, 723, 220?
GCD of given numbers 199, 723, 220 is 1
2. How to calculate the greatest common divisor of 199, 723, 220?
We can find the highest common divisor of 199, 723, 220 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 199, 723, 220 i.e 1.
3. How can I use the GCD of 199, 723, 220Calculator?
Out the numbers 199, 723, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.