Online GCD Calculator is useful to find the GCD of 918, 518, 170, 150 quickly. Get the easiest ways to solve the greatest common divisor of 918, 518, 170, 150 i.e 2 in different methods as follows.
Given Input numbers are 918, 518, 170, 150
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (918, 518, 170, 150) = 2.
Given numbers are 918, 518, 170, 150
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 518 are 2 x 7 x 37
Prime factors of 170 are 2 x 5 x 17
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 918, 518, 170, 150 is 2.
Given numbers are 918, 518, 170, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 518) = 237762
GCD(918, 518) = ( 918 x 518 ) / 237762
= 918 / 518
= 918
Step2:
LCM(2, 170) = 170
GCD(2, 170) = ( 2 x 170 ) / 170
= 2 / 170
= 2
Step3:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
So, Greatest Common Divisor of 918, 518, 170, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 518, 170, 150
The greatest common divisor of numbers 918, 518, 170, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 518, 170, 150 is 2.
1. What is the GCD of 918, 518, 170, 150?
GCD of given numbers 918, 518, 170, 150 is 2
2. How to calculate the greatest common divisor of 918, 518, 170, 150?
We can find the highest common divisor of 918, 518, 170, 150 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 918, 518, 170, 150 i.e 2.
3. How can I use the GCD of 918, 518, 170, 150Calculator?
Out the numbers 918, 518, 170, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.