Online GCD Calculator is useful to find the GCD of 612, 486, 723, 843 quickly. Get the easiest ways to solve the greatest common divisor of 612, 486, 723, 843 i.e 3 in different methods as follows.
Given Input numbers are 612, 486, 723, 843
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
GCD of numbers is the greatest common divisor
So, the GCD (612, 486, 723, 843) = 3.
Given numbers are 612, 486, 723, 843
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 723 are 3 x 241
Prime factors of 843 are 3 x 281
The highest common occurrence is 31
Therefore, GCD of 612, 486, 723, 843 is 3.
Given numbers are 612, 486, 723, 843
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 486) = 16524
GCD(612, 486) = ( 612 x 486 ) / 16524
= 612 / 486
= 612
Step2:
LCM(18, 723) = 4338
GCD(18, 723) = ( 18 x 723 ) / 4338
= 18 / 723
= 18
Step3:
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
= 3 / 843
= 3
So, Greatest Common Divisor of 612, 486, 723, 843 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 486, 723, 843
The greatest common divisor of numbers 612, 486, 723, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 486, 723, 843 is 3.
1. What is the GCD of 612, 486, 723, 843?
GCD of given numbers 612, 486, 723, 843 is 3
2. How to calculate the greatest common divisor of 612, 486, 723, 843?
We can find the highest common divisor of 612, 486, 723, 843 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 612, 486, 723, 843 i.e 3.
3. How can I use the GCD of 612, 486, 723, 843Calculator?
Out the numbers 612, 486, 723, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.