Use our free GCF of Fractions Calculator tool to compute the GCF of 2747/396, 4881/8836 i.e 1/874764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2747/396, 4881/8836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2747/396,4881/8836
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 2747/396,4881/8836, numerators are 2747,4881
Denominators are 396,8836
The GCF of 2747,4881 is 1 .
LCM of 396,8836 is 874764.
The greatest common factor of 2747/396,4881/8836 = [GCF of 2747,4881]/[LCM of 396,8836]= 1/874764
Therefore, the GCF of 2747/396,4881/8836 is 1/874764.
To find the highest common factor of 2747,4881, we have to find the factors of both numbers and list the highest common factor.
The factors of 2747 are 1, 41, 67, 2747
The factors of 4881 are 1, 3, 1627, 4881
The HCF of 2747,4881 is 1.
Lets's calculate GCF of 2747,4881
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2747
:1,41,67,2747
Now, list down the factors of 4881
:1,3,1627,4881
Greatest Common Factor
We found the factors 2747,4881 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,4881 is 1.
Lets's calculate LCM of 396,8836
2 | 396, 8836 |
2 | 198, 4418 |
99, 2209 |
∴ So the LCM of the given numbers is 2 x 2 x 99 x 2209 = 874764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874764
Therefore, the GCF of Fractions 2747/396,4881/8836 is 1/874764
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 396,8836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,8836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(396,8836) x common factors =4 x 1 = 4
LCM(396,8836) = ( 396 × 8836 ) / 4
LCM(396,8836) = 3499056 / 4
LCM(396,8836) = 874764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2747,4881?
The HCF of 2747,4881 is 1
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 2747/396, 4881/8836?
Answer: GCF of Numerators as per given numbers 2747/396, 4881/8836 is
GCF of Numerators i.e. for 2747,4881 is 1
LCM of denominators i.e. for 396,8836 is 874764.
Thus, GCF of Fractions is 1/874764.Finally, GCF of Fractions for 2747/396, 4881/8836 is 1/874764.