Use our free GCF of Fractions Calculator tool to compute the GCF of 548/478, 137/480 i.e 137/114720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/478, 137/480.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/478,137/480
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 548/478,137/480, numerators are 548,137
Denominators are 478,480
The GCF of 548,137 is 137 .
LCM of 478,480 is 114720.
The greatest common factor of 548/478,137/480 = [GCF of 548,137]/[LCM of 478,480]= 137/114720
Therefore, the GCF of 548/478,137/480 is 137/114720.
To find the highest common factor of 548,137, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 137 are 1, 137
The HCF of 548,137 is 137.
Lets's calculate GCF of 548,137
137 | 548, 137 |
4, 1 |
∴ So the GCF of the given numbers is 137 = 137
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 137
:1,137
Greatest Common Factor
We found the factors 548,137 . The biggest common factor number is the GCF number.
So the greatest common factor 548,137 is 137.
Lets's calculate LCM of 478,480
2 | 478, 480 |
239, 240 |
∴ So the LCM of the given numbers is 2 x 239 x 240 = 114720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/114720
Therefore, the GCF of Fractions 548/478,137/480 is 137/114720
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 478,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,480) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,480) x common factors =2 x 1 = 2
LCM(478,480) = ( 478 × 480 ) / 2
LCM(478,480) = 229440 / 2
LCM(478,480) = 114720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 548,137?
The HCF of 548,137 is 137
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 548/478, 137/480?
Answer: GCF of Numerators as per given numbers 548/478, 137/480 is
GCF of Numerators i.e. for 548,137 is 137
LCM of denominators i.e. for 478,480 is 114720.
Thus, GCF of Fractions is 137/114720.Finally, GCF of Fractions for 548/478, 137/480 is 137/114720.