Online GCD Calculator is useful to find the GCD of 231, 110, 902, 858 quickly. Get the easiest ways to solve the greatest common divisor of 231, 110, 902, 858 i.e 11 in different methods as follows.
Given Input numbers are 231, 110, 902, 858
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
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 (231, 110, 902, 858) = 11.
Given numbers are 231, 110, 902, 858
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 110 are 2 x 5 x 11
Prime factors of 902 are 2 x 11 x 41
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 111
Therefore, GCD of 231, 110, 902, 858 is 11.
Given numbers are 231, 110, 902, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 110) = 2310
GCD(231, 110) = ( 231 x 110 ) / 2310
= 231 / 110
= 231
Step2:
LCM(11, 902) = 902
GCD(11, 902) = ( 11 x 902 ) / 902
= 11 / 902
= 11
Step3:
LCM(11, 858) = 858
GCD(11, 858) = ( 11 x 858 ) / 858
= 11 / 858
= 11
So, Greatest Common Divisor of 231, 110, 902, 858 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 110, 902, 858
The greatest common divisor of numbers 231, 110, 902, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 110, 902, 858 is 11.
1. What is the GCD of 231, 110, 902, 858?
GCD of given numbers 231, 110, 902, 858 is 11
2. How to calculate the greatest common divisor of 231, 110, 902, 858?
We can find the highest common divisor of 231, 110, 902, 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 231, 110, 902, 858 i.e 11.
3. How can I use the GCD of 231, 110, 902, 858Calculator?
Out the numbers 231, 110, 902, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.