Use our free GCF of Fractions Calculator tool to compute the GCF of 812/650, 238/294 i.e 14/95550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/650, 238/294.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/650,238/294
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 812/650,238/294, numerators are 812,238
Denominators are 650,294
The GCF of 812,238 is 14 .
LCM of 650,294 is 95550.
The greatest common factor of 812/650,238/294 = [GCF of 812,238]/[LCM of 650,294]= 14/95550
Therefore, the GCF of 812/650,238/294 is 14/95550.
To find the highest common factor of 812,238, 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 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 812,238 is 14.
Lets's calculate GCF of 812,238
2 | 812, 238 |
7 | 406, 119 |
58, 17 |
∴ So the GCF of the given numbers is 2 x 7 = 14
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 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 812,238 . The biggest common factor number is the GCF number.
So the greatest common factor 812,238 is 14.
Lets's calculate LCM of 650,294
2 | 650, 294 |
325, 147 |
∴ So the LCM of the given numbers is 2 x 325 x 147 = 95550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/95550
Therefore, the GCF of Fractions 812/650,238/294 is 14/95550
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 650,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,294) x common factors =2 x 1 = 2
LCM(650,294) = ( 650 × 294 ) / 2
LCM(650,294) = 191100 / 2
LCM(650,294) = 95550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 812,238?
The HCF of 812,238 is 14
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 812/650, 238/294?
Answer: GCF of Numerators as per given numbers 812/650, 238/294 is
GCF of Numerators i.e. for 812,238 is 14
LCM of denominators i.e. for 650,294 is 95550.
Thus, GCF of Fractions is 14/95550.Finally, GCF of Fractions for 812/650, 238/294 is 14/95550.