Online GCD Calculator is useful to find the GCD of 618, 261, 990 quickly. Get the easiest ways to solve the greatest common divisor of 618, 261, 990 i.e 3 in different methods as follows.
Given Input numbers are 618, 261, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (618, 261, 990) = 3.
Given numbers are 618, 261, 990
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 261 are 3 x 3 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 618, 261, 990 is 3.
Given numbers are 618, 261, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 261) = 53766
GCD(618, 261) = ( 618 x 261 ) / 53766
= 618 / 261
= 618
Step2:
LCM(3, 990) = 990
GCD(3, 990) = ( 3 x 990 ) / 990
= 3 / 990
= 3
So, Greatest Common Divisor of 618, 261, 990 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 618, 261, 990
The greatest common divisor of numbers 618, 261, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 261, 990 is 3.
1. What is the GCD of 618, 261, 990?
GCD of given numbers 618, 261, 990 is 3
2. How to calculate the greatest common divisor of 618, 261, 990?
We can find the highest common divisor of 618, 261, 990 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 618, 261, 990 i.e 3.
3. How can I use the GCD of 618, 261, 990Calculator?
Out the numbers 618, 261, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.