Use our free GCF of Fractions Calculator tool to compute the GCF of 5466/965, 8308/4908 i.e 2/4736220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5466/965, 8308/4908.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5466/965,8308/4908
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 5466/965,8308/4908, numerators are 5466,8308
Denominators are 965,4908
The GCF of 5466,8308 is 2 .
LCM of 965,4908 is 4736220.
The greatest common factor of 5466/965,8308/4908 = [GCF of 5466,8308]/[LCM of 965,4908]= 2/4736220
Therefore, the GCF of 5466/965,8308/4908 is 2/4736220.
To find the highest common factor of 5466,8308, we have to find the factors of both numbers and list the highest common factor.
The factors of 5466 are 1, 2, 3, 6, 911, 1822, 2733, 5466
The factors of 8308 are 1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308
The HCF of 5466,8308 is 2.
Lets's calculate GCF of 5466,8308
2 | 5466, 8308 |
2733, 4154 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5466
:1,2,3,6,911,1822,2733,5466
Now, list down the factors of 8308
:1,2,4,31,62,67,124,134,268,2077,4154,8308
Greatest Common Factor
We found the factors 5466,8308 . The biggest common factor number is the GCF number.
So the greatest common factor 5466,8308 is 2.
Lets's calculate LCM of 965,4908
Given numbers has no common factors except 1. So, there LCM is their product i.e 4736220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4736220
Therefore, the GCF of Fractions 5466/965,8308/4908 is 2/4736220
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 965,4908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,4908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,4908) x common factors =1 x 1 = 1
LCM(965,4908) = ( 965 × 4908 ) / 1
LCM(965,4908) = 4736220 / 1
LCM(965,4908) = 4736220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5466,8308?
The HCF of 5466,8308 is 2
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 5466/965, 8308/4908?
Answer: GCF of Numerators as per given numbers 5466/965, 8308/4908 is
GCF of Numerators i.e. for 5466,8308 is 2
LCM of denominators i.e. for 965,4908 is 4736220.
Thus, GCF of Fractions is 2/4736220.Finally, GCF of Fractions for 5466/965, 8308/4908 is 2/4736220.