Online GCD Calculator is useful to find the GCD of 858, 729, 675, 861 quickly. Get the easiest ways to solve the greatest common divisor of 858, 729, 675, 861 i.e 3 in different methods as follows.
Given Input numbers are 858, 729, 675, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (858, 729, 675, 861) = 3.
Given numbers are 858, 729, 675, 861
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 861 are 3 x 7 x 41
The highest common occurrence is 31
Therefore, GCD of 858, 729, 675, 861 is 3.
Given numbers are 858, 729, 675, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 729) = 208494
GCD(858, 729) = ( 858 x 729 ) / 208494
= 858 / 729
= 858
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
Step3:
LCM(3, 861) = 861
GCD(3, 861) = ( 3 x 861 ) / 861
= 3 / 861
= 3
So, Greatest Common Divisor of 858, 729, 675, 861 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 729, 675, 861
The greatest common divisor of numbers 858, 729, 675, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 729, 675, 861 is 3.
1. What is the GCD of 858, 729, 675, 861?
GCD of given numbers 858, 729, 675, 861 is 3
2. How to calculate the greatest common divisor of 858, 729, 675, 861?
We can find the highest common divisor of 858, 729, 675, 861 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 858, 729, 675, 861 i.e 3.
3. How can I use the GCD of 858, 729, 675, 861Calculator?
Out the numbers 858, 729, 675, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.