Use our free GCF of Fractions Calculator tool to compute the GCF of 812/488, 261/276 i.e 29/33672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/488, 261/276.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/488,261/276
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 812/488,261/276, numerators are 812,261
Denominators are 488,276
The GCF of 812,261 is 29 .
LCM of 488,276 is 33672.
The greatest common factor of 812/488,261/276 = [GCF of 812,261]/[LCM of 488,276]= 29/33672
Therefore, the GCF of 812/488,261/276 is 29/33672.
To find the highest common factor of 812,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 812,261 is 29.
Lets's calculate GCF of 812,261
29 | 812, 261 |
28, 9 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 812,261 . The biggest common factor number is the GCF number.
So the greatest common factor 812,261 is 29.
Lets's calculate LCM of 488,276
2 | 488, 276 |
2 | 244, 138 |
122, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 69 = 33672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/33672
Therefore, the GCF of Fractions 812/488,261/276 is 29/33672
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 488,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,276) x common factors =4 x 1 = 4
LCM(488,276) = ( 488 × 276 ) / 4
LCM(488,276) = 134688 / 4
LCM(488,276) = 33672
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 812,261?
The HCF of 812,261 is 29
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 812/488, 261/276?
Answer: GCF of Numerators as per given numbers 812/488, 261/276 is
GCF of Numerators i.e. for 812,261 is 29
LCM of denominators i.e. for 488,276 is 33672.
Thus, GCF of Fractions is 29/33672.Finally, GCF of Fractions for 812/488, 261/276 is 29/33672.