Online GCD Calculator is useful to find the GCD of 330, 508, 274, 909 quickly. Get the easiest ways to solve the greatest common divisor of 330, 508, 274, 909 i.e 1 in different methods as follows.
Given Input numbers are 330, 508, 274, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
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 (330, 508, 274, 909) = 1.
Given numbers are 330, 508, 274, 909
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 508 are 2 x 2 x 127
Prime factors of 274 are 2 x 137
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 330, 508, 274, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 508) = 83820
GCD(330, 508) = ( 330 x 508 ) / 83820
= 330 / 508
= 330
Step2:
LCM(2, 274) = 274
GCD(2, 274) = ( 2 x 274 ) / 274
= 2 / 274
= 2
Step3:
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
= 2 / 909
= 2
So, Greatest Common Divisor of 330, 508, 274, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 508, 274, 909
The greatest common divisor of numbers 330, 508, 274, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 508, 274, 909 is 1.
1. What is the GCD of 330, 508, 274, 909?
GCD of given numbers 330, 508, 274, 909 is 1
2. How to calculate the greatest common divisor of 330, 508, 274, 909?
We can find the highest common divisor of 330, 508, 274, 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 330, 508, 274, 909 i.e 1.
3. How can I use the GCD of 330, 508, 274, 909Calculator?
Out the numbers 330, 508, 274, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.