Online GCD Calculator is useful to find the GCD of 876, 188, 918 quickly. Get the easiest ways to solve the greatest common divisor of 876, 188, 918 i.e 2 in different methods as follows.
Given Input numbers are 876, 188, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (876, 188, 918) = 2.
Given numbers are 876, 188, 918
The list of prime factors of all numbers are
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 188 are 2 x 2 x 47
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 876, 188, 918 is 2.
Given numbers are 876, 188, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 188) = 41172
GCD(876, 188) = ( 876 x 188 ) / 41172
= 876 / 188
= 876
Step2:
LCM(4, 918) = 1836
GCD(4, 918) = ( 4 x 918 ) / 1836
= 4 / 918
= 4
So, Greatest Common Divisor of 876, 188, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 876, 188, 918
The greatest common divisor of numbers 876, 188, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 188, 918 is 2.
1. What is the GCD of 876, 188, 918?
GCD of given numbers 876, 188, 918 is 2
2. How to calculate the greatest common divisor of 876, 188, 918?
We can find the highest common divisor of 876, 188, 918 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 876, 188, 918 i.e 2.
3. How can I use the GCD of 876, 188, 918Calculator?
Out the numbers 876, 188, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.