GCF of 4299/398, 2109/4116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4299/398, 2109/4116 i.e 3/819084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4299/398, 2109/4116.
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 4299/398,2109/4116?
Given fractions are 4299/398,2109/4116
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 4299/398,2109/4116, numerators are 4299,2109
Denominators are 398,4116
The GCF of 4299,2109 is 3 .
LCM of 398,4116 is 819084.
The greatest common factor of 4299/398,2109/4116 = [GCF of 4299,2109]/[LCM of 398,4116]= 3/819084
Therefore, the GCF of 4299/398,2109/4116 is 3/819084.
To find the highest common factor of 4299,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4299 are 1, 3, 1433, 4299
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 4299,2109 is 3.
Lets's calculate GCF of 4299,2109
| 3 | 4299, 2109 |
| 1433, 703 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4299,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 4299
:1,3,1433,4299
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 4299,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 4299,2109 is 3.
Lets's calculate LCM of 398,4116
| 2 | 398, 4116 |
| 199, 2058 |
∴ So the LCM of the given numbers is 2 x 199 x 2058 = 819084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/819084
Therefore, the GCF of Fractions 4299/398,2109/4116 is 3/819084
Least Common Multiple of 398,4116 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 398,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,4116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,4116) x common factors =2 x 1 = 2
LCM(398,4116) = ( 398 × 4116 ) / 2
LCM(398,4116) = 1638168 / 2
LCM(398,4116) = 819084
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FAQs on GCF of Fractions of 4299/398, 2109/4116
1. What is the HCF of 4299,2109?
The HCF of 4299,2109 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 4299/398, 2109/4116?
Answer: GCF of Numerators as per given numbers 4299/398, 2109/4116 is
GCF of Numerators i.e. for 4299,2109 is 3
LCM of denominators i.e. for 398,4116 is 819084.
Thus, GCF of Fractions is 3/819084.Finally, GCF of Fractions for 4299/398, 2109/4116 is 3/819084.