Use our free GCF of Fractions Calculator tool to compute the GCF of 2896/117, 5157/9310 i.e 1/1089270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2896/117, 5157/9310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2896/117,5157/9310
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 2896/117,5157/9310, numerators are 2896,5157
Denominators are 117,9310
The GCF of 2896,5157 is 1 .
LCM of 117,9310 is 1089270.
The greatest common factor of 2896/117,5157/9310 = [GCF of 2896,5157]/[LCM of 117,9310]= 1/1089270
Therefore, the GCF of 2896/117,5157/9310 is 1/1089270.
To find the highest common factor of 2896,5157, we have to find the factors of both numbers and list the highest common factor.
The factors of 2896 are 1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896
The factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157
The HCF of 2896,5157 is 1.
Lets's calculate GCF of 2896,5157
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2896
:1,2,4,8,16,181,362,724,1448,2896
Now, list down the factors of 5157
:1,3,9,27,191,573,1719,5157
Greatest Common Factor
We found the factors 2896,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 2896,5157 is 1.
Lets's calculate LCM of 117,9310
Given numbers has no common factors except 1. So, there LCM is their product i.e 1089270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1089270
Therefore, the GCF of Fractions 2896/117,5157/9310 is 1/1089270
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 117,9310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,9310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,9310) x common factors =1 x 1 = 1
LCM(117,9310) = ( 117 × 9310 ) / 1
LCM(117,9310) = 1089270 / 1
LCM(117,9310) = 1089270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2896,5157?
The HCF of 2896,5157 is 1
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 2896/117, 5157/9310?
Answer: GCF of Numerators as per given numbers 2896/117, 5157/9310 is
GCF of Numerators i.e. for 2896,5157 is 1
LCM of denominators i.e. for 117,9310 is 1089270.
Thus, GCF of Fractions is 1/1089270.Finally, GCF of Fractions for 2896/117, 5157/9310 is 1/1089270.