Online GCD Calculator is useful to find the GCD of 723, 809, 189, 141 quickly. Get the easiest ways to solve the greatest common divisor of 723, 809, 189, 141 i.e 1 in different methods as follows.
Given Input numbers are 723, 809, 189, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (723, 809, 189, 141) = 1.
Given numbers are 723, 809, 189, 141
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 809 are 809
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 141 are 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 809, 189, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 809) = 584907
GCD(723, 809) = ( 723 x 809 ) / 584907
= 723 / 809
= 723
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
= 1 / 141
= 1
So, Greatest Common Divisor of 723, 809, 189, 141 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 809, 189, 141
The greatest common divisor of numbers 723, 809, 189, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 809, 189, 141 is 1.
1. What is the GCD of 723, 809, 189, 141?
GCD of given numbers 723, 809, 189, 141 is 1
2. How to calculate the greatest common divisor of 723, 809, 189, 141?
We can find the highest common divisor of 723, 809, 189, 141 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 723, 809, 189, 141 i.e 1.
3. How can I use the GCD of 723, 809, 189, 141Calculator?
Out the numbers 723, 809, 189, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.