Use our free GCF of Fractions Calculator tool to compute the GCF of 638/548, 286/463 i.e 22/253724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/548, 286/463.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/548,286/463
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 638/548,286/463, numerators are 638,286
Denominators are 548,463
The GCF of 638,286 is 22 .
LCM of 548,463 is 253724.
The greatest common factor of 638/548,286/463 = [GCF of 638,286]/[LCM of 548,463]= 22/253724
Therefore, the GCF of 638/548,286/463 is 22/253724.
To find the highest common factor of 638,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 638,286 is 22.
Lets's calculate GCF of 638,286
2 | 638, 286 |
11 | 319, 143 |
29, 13 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 638,286 . The biggest common factor number is the GCF number.
So the greatest common factor 638,286 is 22.
Lets's calculate LCM of 548,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 253724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/253724
Therefore, the GCF of Fractions 638/548,286/463 is 22/253724
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 548,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,463) x common factors =1 x 1 = 1
LCM(548,463) = ( 548 × 463 ) / 1
LCM(548,463) = 253724 / 1
LCM(548,463) = 253724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 638,286?
The HCF of 638,286 is 22
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 638/548, 286/463?
Answer: GCF of Numerators as per given numbers 638/548, 286/463 is
GCF of Numerators i.e. for 638,286 is 22
LCM of denominators i.e. for 548,463 is 253724.
Thus, GCF of Fractions is 22/253724.Finally, GCF of Fractions for 638/548, 286/463 is 22/253724.