Use our free GCF of Fractions Calculator tool to compute the GCF of 6544/394, 4902/5632 i.e 2/1109504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6544/394, 4902/5632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6544/394,4902/5632
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 6544/394,4902/5632, numerators are 6544,4902
Denominators are 394,5632
The GCF of 6544,4902 is 2 .
LCM of 394,5632 is 1109504.
The greatest common factor of 6544/394,4902/5632 = [GCF of 6544,4902]/[LCM of 394,5632]= 2/1109504
Therefore, the GCF of 6544/394,4902/5632 is 2/1109504.
To find the highest common factor of 6544,4902, we have to find the factors of both numbers and list the highest common factor.
The factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544
The factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
The HCF of 6544,4902 is 2.
Lets's calculate GCF of 6544,4902
2 | 6544, 4902 |
3272, 2451 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6544
:1,2,4,8,16,409,818,1636,3272,6544
Now, list down the factors of 4902
:1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Greatest Common Factor
We found the factors 6544,4902 . The biggest common factor number is the GCF number.
So the greatest common factor 6544,4902 is 2.
Lets's calculate LCM of 394,5632
2 | 394, 5632 |
197, 2816 |
∴ So the LCM of the given numbers is 2 x 197 x 2816 = 1109504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1109504
Therefore, the GCF of Fractions 6544/394,4902/5632 is 2/1109504
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 394,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,5632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,5632) x common factors =2 x 1 = 2
LCM(394,5632) = ( 394 × 5632 ) / 2
LCM(394,5632) = 2219008 / 2
LCM(394,5632) = 1109504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6544,4902?
The HCF of 6544,4902 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 6544/394, 4902/5632?
Answer: GCF of Numerators as per given numbers 6544/394, 4902/5632 is
GCF of Numerators i.e. for 6544,4902 is 2
LCM of denominators i.e. for 394,5632 is 1109504.
Thus, GCF of Fractions is 2/1109504.Finally, GCF of Fractions for 6544/394, 4902/5632 is 2/1109504.