Use our free GCF of Fractions Calculator tool to compute the GCF of 7908/268, 6855/8949 i.e 3/2398332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7908/268, 6855/8949.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7908/268,6855/8949
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 7908/268,6855/8949, numerators are 7908,6855
Denominators are 268,8949
The GCF of 7908,6855 is 3 .
LCM of 268,8949 is 2398332.
The greatest common factor of 7908/268,6855/8949 = [GCF of 7908,6855]/[LCM of 268,8949]= 3/2398332
Therefore, the GCF of 7908/268,6855/8949 is 3/2398332.
To find the highest common factor of 7908,6855, we have to find the factors of both numbers and list the highest common factor.
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855
The HCF of 7908,6855 is 3.
Lets's calculate GCF of 7908,6855
3 | 7908, 6855 |
2636, 2285 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Now, list down the factors of 6855
:1,3,5,15,457,1371,2285,6855
Greatest Common Factor
We found the factors 7908,6855 . The biggest common factor number is the GCF number.
So the greatest common factor 7908,6855 is 3.
Lets's calculate LCM of 268,8949
Given numbers has no common factors except 1. So, there LCM is their product i.e 2398332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2398332
Therefore, the GCF of Fractions 7908/268,6855/8949 is 3/2398332
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 268,8949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,8949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,8949) x common factors =1 x 1 = 1
LCM(268,8949) = ( 268 × 8949 ) / 1
LCM(268,8949) = 2398332 / 1
LCM(268,8949) = 2398332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7908,6855?
The HCF of 7908,6855 is 3
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 7908/268, 6855/8949?
Answer: GCF of Numerators as per given numbers 7908/268, 6855/8949 is
GCF of Numerators i.e. for 7908,6855 is 3
LCM of denominators i.e. for 268,8949 is 2398332.
Thus, GCF of Fractions is 3/2398332.Finally, GCF of Fractions for 7908/268, 6855/8949 is 3/2398332.