Online GCD Calculator is useful to find the GCD of 111, 723, 162, 321 quickly. Get the easiest ways to solve the greatest common divisor of 111, 723, 162, 321 i.e 3 in different methods as follows.
Given Input numbers are 111, 723, 162, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (111, 723, 162, 321) = 3.
Given numbers are 111, 723, 162, 321
The list of prime factors of all numbers are
Prime factors of 111 are 3 x 37
Prime factors of 723 are 3 x 241
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 111, 723, 162, 321 is 3.
Given numbers are 111, 723, 162, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(111, 723) = 26751
GCD(111, 723) = ( 111 x 723 ) / 26751
= 111 / 723
= 111
Step2:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
Step3:
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
= 3 / 321
= 3
So, Greatest Common Divisor of 111, 723, 162, 321 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 111, 723, 162, 321
The greatest common divisor of numbers 111, 723, 162, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 723, 162, 321 is 3.
1. What is the GCD of 111, 723, 162, 321?
GCD of given numbers 111, 723, 162, 321 is 3
2. How to calculate the greatest common divisor of 111, 723, 162, 321?
We can find the highest common divisor of 111, 723, 162, 321 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 111, 723, 162, 321 i.e 3.
3. How can I use the GCD of 111, 723, 162, 321Calculator?
Out the numbers 111, 723, 162, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.