Online GCD Calculator is useful to find the GCD of 844, 518, 216, 118 quickly. Get the easiest ways to solve the greatest common divisor of 844, 518, 216, 118 i.e 2 in different methods as follows.
Given Input numbers are 844, 518, 216, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (844, 518, 216, 118) = 2.
Given numbers are 844, 518, 216, 118
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 518 are 2 x 7 x 37
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 844, 518, 216, 118 is 2.
Given numbers are 844, 518, 216, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 518) = 218596
GCD(844, 518) = ( 844 x 518 ) / 218596
= 844 / 518
= 844
Step2:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
Step3:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
So, Greatest Common Divisor of 844, 518, 216, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 518, 216, 118
The greatest common divisor of numbers 844, 518, 216, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 518, 216, 118 is 2.
1. What is the GCD of 844, 518, 216, 118?
GCD of given numbers 844, 518, 216, 118 is 2
2. How to calculate the greatest common divisor of 844, 518, 216, 118?
We can find the highest common divisor of 844, 518, 216, 118 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 844, 518, 216, 118 i.e 2.
3. How can I use the GCD of 844, 518, 216, 118Calculator?
Out the numbers 844, 518, 216, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.