Use our free GCF of Fractions Calculator tool to compute the GCF of 5297/260, 8226/2864 i.e 1/186160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5297/260, 8226/2864.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5297/260,8226/2864
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 5297/260,8226/2864, numerators are 5297,8226
Denominators are 260,2864
The GCF of 5297,8226 is 1 .
LCM of 260,2864 is 186160.
The greatest common factor of 5297/260,8226/2864 = [GCF of 5297,8226]/[LCM of 260,2864]= 1/186160
Therefore, the GCF of 5297/260,8226/2864 is 1/186160.
To find the highest common factor of 5297,8226, we have to find the factors of both numbers and list the highest common factor.
The factors of 5297 are 1, 5297
The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226
The HCF of 5297,8226 is 1.
Lets's calculate GCF of 5297,8226
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5297
:1,5297
Now, list down the factors of 8226
:1,2,3,6,9,18,457,914,1371,2742,4113,8226
Greatest Common Factor
We found the factors 5297,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 5297,8226 is 1.
Lets's calculate LCM of 260,2864
2 | 260, 2864 |
2 | 130, 1432 |
65, 716 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 716 = 186160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186160
Therefore, the GCF of Fractions 5297/260,8226/2864 is 1/186160
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 260,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,2864) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(260,2864) x common factors =4 x 1 = 4
LCM(260,2864) = ( 260 × 2864 ) / 4
LCM(260,2864) = 744640 / 4
LCM(260,2864) = 186160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5297,8226?
The HCF of 5297,8226 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 5297/260, 8226/2864?
Answer: GCF of Numerators as per given numbers 5297/260, 8226/2864 is
GCF of Numerators i.e. for 5297,8226 is 1
LCM of denominators i.e. for 260,2864 is 186160.
Thus, GCF of Fractions is 1/186160.Finally, GCF of Fractions for 5297/260, 8226/2864 is 1/186160.