GCF of 5043/287, 7878/9413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5043/287, 7878/9413 i.e 3/2701531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5043/287, 7878/9413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5043/287,7878/9413?
Given fractions are 5043/287,7878/9413
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 5043/287,7878/9413, numerators are 5043,7878
Denominators are 287,9413
The GCF of 5043,7878 is 3 .
LCM of 287,9413 is 2701531.
The greatest common factor of 5043/287,7878/9413 = [GCF of 5043,7878]/[LCM of 287,9413]= 3/2701531
Therefore, the GCF of 5043/287,7878/9413 is 3/2701531.
To find the highest common factor of 5043,7878, we have to find the factors of both numbers and list the highest common factor.
The factors of 5043 are 1, 3, 41, 123, 1681, 5043
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The HCF of 5043,7878 is 3.
Lets's calculate GCF of 5043,7878
| 3 | 5043, 7878 |
| 1681, 2626 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5043,7878 By Matching Biggest Common Factor Method
Now, list down the factors of 5043
:1,3,41,123,1681,5043
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Greatest Common Factor
We found the factors 5043,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 5043,7878 is 3.
Lets's calculate LCM of 287,9413
Given numbers has no common factors except 1. So, there LCM is their product i.e 2701531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2701531
Therefore, the GCF of Fractions 5043/287,7878/9413 is 3/2701531
Least Common Multiple of 287,9413 with GCF Formula
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 287,9413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,9413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,9413) x common factors =1 x 1 = 1
LCM(287,9413) = ( 287 × 9413 ) / 1
LCM(287,9413) = 2701531 / 1
LCM(287,9413) = 2701531
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FAQs on GCF of Fractions of 5043/287, 7878/9413
1. What is the HCF of 5043,7878?
The HCF of 5043,7878 is 3
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 5043/287, 7878/9413?
Answer: GCF of Numerators as per given numbers 5043/287, 7878/9413 is
GCF of Numerators i.e. for 5043,7878 is 3
LCM of denominators i.e. for 287,9413 is 2701531.
Thus, GCF of Fractions is 3/2701531.Finally, GCF of Fractions for 5043/287, 7878/9413 is 3/2701531.