Use our free GCF of Fractions Calculator tool to compute the GCF of 896/268, 8050/9214 i.e 14/1234676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/268, 8050/9214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/268,8050/9214
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 896/268,8050/9214, numerators are 896,8050
Denominators are 268,9214
The GCF of 896,8050 is 14 .
LCM of 268,9214 is 1234676.
The greatest common factor of 896/268,8050/9214 = [GCF of 896,8050]/[LCM of 268,9214]= 14/1234676
Therefore, the GCF of 896/268,8050/9214 is 14/1234676.
To find the highest common factor of 896,8050, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The HCF of 896,8050 is 14.
Lets's calculate GCF of 896,8050
2 | 896, 8050 |
7 | 448, 4025 |
64, 575 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Greatest Common Factor
We found the factors 896,8050 . The biggest common factor number is the GCF number.
So the greatest common factor 896,8050 is 14.
Lets's calculate LCM of 268,9214
2 | 268, 9214 |
134, 4607 |
∴ So the LCM of the given numbers is 2 x 134 x 4607 = 1234676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1234676
Therefore, the GCF of Fractions 896/268,8050/9214 is 14/1234676
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 268,9214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,9214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,9214) x common factors =2 x 1 = 2
LCM(268,9214) = ( 268 × 9214 ) / 2
LCM(268,9214) = 2469352 / 2
LCM(268,9214) = 1234676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,8050?
The HCF of 896,8050 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 896/268, 8050/9214?
Answer: GCF of Numerators as per given numbers 896/268, 8050/9214 is
GCF of Numerators i.e. for 896,8050 is 14
LCM of denominators i.e. for 268,9214 is 1234676.
Thus, GCF of Fractions is 14/1234676.Finally, GCF of Fractions for 896/268, 8050/9214 is 14/1234676.