Online GCD Calculator is useful to find the GCD of 845, 169, 663, 858 quickly. Get the easiest ways to solve the greatest common divisor of 845, 169, 663, 858 i.e 13 in different methods as follows.
Given Input numbers are 845, 169, 663, 858
In the factoring method, we have to find the divisors of all numbers
Divisors of 845 :
The positive integer divisors of 845 that completely divides 845 are.
1, 5, 13, 65, 169, 845
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
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
GCD of numbers is the greatest common divisor
So, the GCD (845, 169, 663, 858) = 13.
Given numbers are 845, 169, 663, 858
The list of prime factors of all numbers are
Prime factors of 845 are 5 x 13 x 13
Prime factors of 169 are 13 x 13
Prime factors of 663 are 3 x 13 x 17
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 131
Therefore, GCD of 845, 169, 663, 858 is 13.
Given numbers are 845, 169, 663, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(845, 169) = 845
GCD(845, 169) = ( 845 x 169 ) / 845
= 845 / 169
= 845
Step2:
LCM(169, 663) = 8619
GCD(169, 663) = ( 169 x 663 ) / 8619
= 169 / 663
= 169
Step3:
LCM(13, 858) = 858
GCD(13, 858) = ( 13 x 858 ) / 858
= 13 / 858
= 13
So, Greatest Common Divisor of 845, 169, 663, 858 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 845, 169, 663, 858
The greatest common divisor of numbers 845, 169, 663, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 845, 169, 663, 858 is 13.
1. What is the GCD of 845, 169, 663, 858?
GCD of given numbers 845, 169, 663, 858 is 13
2. How to calculate the greatest common divisor of 845, 169, 663, 858?
We can find the highest common divisor of 845, 169, 663, 858 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 845, 169, 663, 858 i.e 13.
3. How can I use the GCD of 845, 169, 663, 858Calculator?
Out the numbers 845, 169, 663, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.