Online GCD Calculator is useful to find the GCD of 330, 674, 852, 270 quickly. Get the easiest ways to solve the greatest common divisor of 330, 674, 852, 270 i.e 2 in different methods as follows.
Given Input numbers are 330, 674, 852, 270
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 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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
GCD of numbers is the greatest common divisor
So, the GCD (330, 674, 852, 270) = 2.
Given numbers are 330, 674, 852, 270
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 674 are 2 x 337
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 330, 674, 852, 270 is 2.
Given numbers are 330, 674, 852, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 674) = 111210
GCD(330, 674) = ( 330 x 674 ) / 111210
= 330 / 674
= 330
Step2:
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
= 2 / 852
= 2
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 330, 674, 852, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 674, 852, 270
The greatest common divisor of numbers 330, 674, 852, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 674, 852, 270 is 2.
1. What is the GCD of 330, 674, 852, 270?
GCD of given numbers 330, 674, 852, 270 is 2
2. How to calculate the greatest common divisor of 330, 674, 852, 270?
We can find the highest common divisor of 330, 674, 852, 270 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, 674, 852, 270 i.e 2.
3. How can I use the GCD of 330, 674, 852, 270Calculator?
Out the numbers 330, 674, 852, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.