Online GCD Calculator is useful to find the GCD of 858, 723, 522 quickly. Get the easiest ways to solve the greatest common divisor of 858, 723, 522 i.e 3 in different methods as follows.
Given Input numbers are 858, 723, 522
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (858, 723, 522) = 3.
Given numbers are 858, 723, 522
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 723 are 3 x 241
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 858, 723, 522 is 3.
Given numbers are 858, 723, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 723) = 206778
GCD(858, 723) = ( 858 x 723 ) / 206778
= 858 / 723
= 858
Step2:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
So, Greatest Common Divisor of 858, 723, 522 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 723, 522
The greatest common divisor of numbers 858, 723, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 723, 522 is 3.
1. What is the GCD of 858, 723, 522?
GCD of given numbers 858, 723, 522 is 3
2. How to calculate the greatest common divisor of 858, 723, 522?
We can find the highest common divisor of 858, 723, 522 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, 723, 522 i.e 3.
3. How can I use the GCD of 858, 723, 522Calculator?
Out the numbers 858, 723, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.