Online GCD Calculator is useful to find the GCD of 660, 222, 909 quickly. Get the easiest ways to solve the greatest common divisor of 660, 222, 909 i.e 3 in different methods as follows.
Given Input numbers are 660, 222, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (660, 222, 909) = 3.
Given numbers are 660, 222, 909
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 222 are 2 x 3 x 37
Prime factors of 909 are 3 x 3 x 101
The highest common occurrence is 31
Therefore, GCD of 660, 222, 909 is 3.
Given numbers are 660, 222, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 222) = 24420
GCD(660, 222) = ( 660 x 222 ) / 24420
= 660 / 222
= 660
Step2:
LCM(6, 909) = 1818
GCD(6, 909) = ( 6 x 909 ) / 1818
= 6 / 909
= 6
So, Greatest Common Divisor of 660, 222, 909 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 222, 909
The greatest common divisor of numbers 660, 222, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 222, 909 is 3.
1. What is the GCD of 660, 222, 909?
GCD of given numbers 660, 222, 909 is 3
2. How to calculate the greatest common divisor of 660, 222, 909?
We can find the highest common divisor of 660, 222, 909 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 660, 222, 909 i.e 3.
3. How can I use the GCD of 660, 222, 909Calculator?
Out the numbers 660, 222, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.