Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 330/45,387/30,644/49
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 330,387,644
Greatest Common Factor of Numerators i.e. GCF of 330,387,644 is 1 .
LCM of Denominators means LCM of 45,30,49 as per the given fractions.
LCM of 45,30,49 is 4410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 330,387,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 330,387,644 . The biggest common factor number is the GCF number.
So the greatest common factor 330,387,644 is 1.
Lets's calculate LCM of 45,30,49
3 | 45, 30, 49 |
5 | 15, 10, 49 |
3, 2, 49 |
∴ So the LCM of the given numbers is 3 x 5 x 3 x 2 x 49 = 4410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4410
Therefore, the GCF of Fractions 330/45,387/30,644/49 is 1/4410
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 45,30,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,30,49) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(45,30,49) x common factors =1 x 15 = 15
LCM(45,30,49) = ( 45 × 30 × 49 ) / 15
LCM(45,30,49) = 66150 / 15
LCM(45,30,49) = 4410
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 330/45, 387/30, 644/49?
Answer: GCF of Numerators as per given numbers 330/45, 387/30, 644/49 is
GCF of Numerators i.e. for 330,387,644 is 1
LCM of denominators i.e. for 45,30,49 is 4410.
Thus, GCF of Fractions is 1/4410.Finally, GCF of Fractions for 330/45, 387/30, 644/49 is 1/4410.