Online GCD Calculator is useful to find the GCD of 270, 446, 190, 918 quickly. Get the easiest ways to solve the greatest common divisor of 270, 446, 190, 918 i.e 2 in different methods as follows.
Given Input numbers are 270, 446, 190, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
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 (270, 446, 190, 918) = 2.
Given numbers are 270, 446, 190, 918
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 446 are 2 x 223
Prime factors of 190 are 2 x 5 x 19
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 270, 446, 190, 918 is 2.
Given numbers are 270, 446, 190, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 446) = 60210
GCD(270, 446) = ( 270 x 446 ) / 60210
= 270 / 446
= 270
Step2:
LCM(2, 190) = 190
GCD(2, 190) = ( 2 x 190 ) / 190
= 2 / 190
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 270, 446, 190, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 446, 190, 918
The greatest common divisor of numbers 270, 446, 190, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 446, 190, 918 is 2.
1. What is the GCD of 270, 446, 190, 918?
GCD of given numbers 270, 446, 190, 918 is 2
2. How to calculate the greatest common divisor of 270, 446, 190, 918?
We can find the highest common divisor of 270, 446, 190, 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 270, 446, 190, 918 i.e 2.
3. How can I use the GCD of 270, 446, 190, 918Calculator?
Out the numbers 270, 446, 190, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.