Use our free GCF of Fractions Calculator tool to compute the GCF of 5663/610, 9814/6044 i.e 7/1843420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5663/610, 9814/6044.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5663/610,9814/6044
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 5663/610,9814/6044, numerators are 5663,9814
Denominators are 610,6044
The GCF of 5663,9814 is 7 .
LCM of 610,6044 is 1843420.
The greatest common factor of 5663/610,9814/6044 = [GCF of 5663,9814]/[LCM of 610,6044]= 7/1843420
Therefore, the GCF of 5663/610,9814/6044 is 7/1843420.
To find the highest common factor of 5663,9814, we have to find the factors of both numbers and list the highest common factor.
The factors of 5663 are 1, 7, 809, 5663
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The HCF of 5663,9814 is 7.
Lets's calculate GCF of 5663,9814
7 | 5663, 9814 |
809, 1402 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 5663
:1,7,809,5663
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 5663,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 5663,9814 is 7.
Lets's calculate LCM of 610,6044
2 | 610, 6044 |
305, 3022 |
∴ So the LCM of the given numbers is 2 x 305 x 3022 = 1843420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1843420
Therefore, the GCF of Fractions 5663/610,9814/6044 is 7/1843420
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 610,6044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,6044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,6044) x common factors =2 x 1 = 2
LCM(610,6044) = ( 610 × 6044 ) / 2
LCM(610,6044) = 3686840 / 2
LCM(610,6044) = 1843420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5663,9814?
The HCF of 5663,9814 is 7
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 5663/610, 9814/6044?
Answer: GCF of Numerators as per given numbers 5663/610, 9814/6044 is
GCF of Numerators i.e. for 5663,9814 is 7
LCM of denominators i.e. for 610,6044 is 1843420.
Thus, GCF of Fractions is 7/1843420.Finally, GCF of Fractions for 5663/610, 9814/6044 is 7/1843420.