GCF of 8307/291, 4404/3911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8307/291, 4404/3911 i.e 3/1138101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8307/291, 4404/3911.
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 8307/291,4404/3911?
Given fractions are 8307/291,4404/3911
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 8307/291,4404/3911, numerators are 8307,4404
Denominators are 291,3911
The GCF of 8307,4404 is 3 .
LCM of 291,3911 is 1138101.
The greatest common factor of 8307/291,4404/3911 = [GCF of 8307,4404]/[LCM of 291,3911]= 3/1138101
Therefore, the GCF of 8307/291,4404/3911 is 3/1138101.
To find the highest common factor of 8307,4404, we have to find the factors of both numbers and list the highest common factor.
The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307
The factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404
The HCF of 8307,4404 is 3.
Lets's calculate GCF of 8307,4404
| 3 | 8307, 4404 |
| 2769, 1468 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8307,4404 By Matching Biggest Common Factor Method
Now, list down the factors of 8307
:1,3,9,13,39,71,117,213,639,923,2769,8307
Now, list down the factors of 4404
:1,2,3,4,6,12,367,734,1101,1468,2202,4404
Greatest Common Factor
We found the factors 8307,4404 . The biggest common factor number is the GCF number.
So the greatest common factor 8307,4404 is 3.
Lets's calculate LCM of 291,3911
Given numbers has no common factors except 1. So, there LCM is their product i.e 1138101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1138101
Therefore, the GCF of Fractions 8307/291,4404/3911 is 3/1138101
Least Common Multiple of 291,3911 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 291,3911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,3911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,3911) x common factors =1 x 1 = 1
LCM(291,3911) = ( 291 × 3911 ) / 1
LCM(291,3911) = 1138101 / 1
LCM(291,3911) = 1138101
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FAQs on GCF of Fractions of 8307/291, 4404/3911
1. What is the HCF of 8307,4404?
The HCF of 8307,4404 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 8307/291, 4404/3911?
Answer: GCF of Numerators as per given numbers 8307/291, 4404/3911 is
GCF of Numerators i.e. for 8307,4404 is 3
LCM of denominators i.e. for 291,3911 is 1138101.
Thus, GCF of Fractions is 3/1138101.Finally, GCF of Fractions for 8307/291, 4404/3911 is 3/1138101.