Use our free GCF of Fractions Calculator tool to compute the GCF of 990/480, 231/714 i.e 33/57120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 990/480, 231/714.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/480,231/714
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 990/480,231/714, numerators are 990,231
Denominators are 480,714
The GCF of 990,231 is 33 .
LCM of 480,714 is 57120.
The greatest common factor of 990/480,231/714 = [GCF of 990,231]/[LCM of 480,714]= 33/57120
Therefore, the GCF of 990/480,231/714 is 33/57120.
To find the highest common factor of 990,231, we have to find the factors of both numbers and list the highest common factor.
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 990,231 is 33.
Lets's calculate GCF of 990,231
3 | 990, 231 |
11 | 330, 77 |
30, 7 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 990,231 . The biggest common factor number is the GCF number.
So the greatest common factor 990,231 is 33.
Lets's calculate LCM of 480,714
2 | 480, 714 |
3 | 240, 357 |
80, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 80 x 119 = 57120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/57120
Therefore, the GCF of Fractions 990/480,231/714 is 33/57120
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 480,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(480,714) x common factors =6 x 1 = 6
LCM(480,714) = ( 480 × 714 ) / 6
LCM(480,714) = 342720 / 6
LCM(480,714) = 57120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 990,231?
The HCF of 990,231 is 33
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 990/480, 231/714?
Answer: GCF of Numerators as per given numbers 990/480, 231/714 is
GCF of Numerators i.e. for 990,231 is 33
LCM of denominators i.e. for 480,714 is 57120.
Thus, GCF of Fractions is 33/57120.Finally, GCF of Fractions for 990/480, 231/714 is 33/57120.