Use our free GCF of Fractions Calculator tool to compute the GCF of 909/185, 705/330 i.e 3/12210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/185, 705/330.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 909/185,705/330
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 909/185,705/330, numerators are 909,705
Denominators are 185,330
The GCF of 909,705 is 3 .
LCM of 185,330 is 12210.
The greatest common factor of 909/185,705/330 = [GCF of 909,705]/[LCM of 185,330]= 3/12210
Therefore, the GCF of 909/185,705/330 is 3/12210.
To find the highest common factor of 909,705, we have to find the factors of both numbers and list the highest common factor.
The factors of 909 are 1, 3, 9, 101, 303, 909
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The HCF of 909,705 is 3.
Lets's calculate GCF of 909,705
3 | 909, 705 |
303, 235 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 909
:1,3,9,101,303,909
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 909,705 . The biggest common factor number is the GCF number.
So the greatest common factor 909,705 is 3.
Lets's calculate LCM of 185,330
5 | 185, 330 |
37, 66 |
∴ So the LCM of the given numbers is 5 x 37 x 66 = 12210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12210
Therefore, the GCF of Fractions 909/185,705/330 is 3/12210
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 185,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,330) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,330) x common factors =5 x 1 = 5
LCM(185,330) = ( 185 × 330 ) / 5
LCM(185,330) = 61050 / 5
LCM(185,330) = 12210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 909,705?
The HCF of 909,705 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 909/185, 705/330?
Answer: GCF of Numerators as per given numbers 909/185, 705/330 is
GCF of Numerators i.e. for 909,705 is 3
LCM of denominators i.e. for 185,330 is 12210.
Thus, GCF of Fractions is 3/12210.Finally, GCF of Fractions for 909/185, 705/330 is 3/12210.