GCF of 4404/209, 8871/2803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4404/209, 8871/2803 i.e 3/585827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4404/209, 8871/2803.
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 4404/209,8871/2803?
Given fractions are 4404/209,8871/2803
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 4404/209,8871/2803, numerators are 4404,8871
Denominators are 209,2803
The GCF of 4404,8871 is 3 .
LCM of 209,2803 is 585827.
The greatest common factor of 4404/209,8871/2803 = [GCF of 4404,8871]/[LCM of 209,2803]= 3/585827
Therefore, the GCF of 4404/209,8871/2803 is 3/585827.
To find the highest common factor of 4404,8871, we have to find the factors of both numbers and list the highest common factor.
The factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404
The factors of 8871 are 1, 3, 2957, 8871
The HCF of 4404,8871 is 3.
Lets's calculate GCF of 4404,8871
| 3 | 4404, 8871 |
| 1468, 2957 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4404,8871 By Matching Biggest Common Factor Method
Now, list down the factors of 4404
:1,2,3,4,6,12,367,734,1101,1468,2202,4404
Now, list down the factors of 8871
:1,3,2957,8871
Greatest Common Factor
We found the factors 4404,8871 . The biggest common factor number is the GCF number.
So the greatest common factor 4404,8871 is 3.
Lets's calculate LCM of 209,2803
Given numbers has no common factors except 1. So, there LCM is their product i.e 585827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/585827
Therefore, the GCF of Fractions 4404/209,8871/2803 is 3/585827
Least Common Multiple of 209,2803 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 209,2803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,2803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,2803) x common factors =1 x 1 = 1
LCM(209,2803) = ( 209 × 2803 ) / 1
LCM(209,2803) = 585827 / 1
LCM(209,2803) = 585827
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FAQs on GCF of Fractions of 4404/209, 8871/2803
1. What is the HCF of 4404,8871?
The HCF of 4404,8871 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 4404/209, 8871/2803?
Answer: GCF of Numerators as per given numbers 4404/209, 8871/2803 is
GCF of Numerators i.e. for 4404,8871 is 3
LCM of denominators i.e. for 209,2803 is 585827.
Thus, GCF of Fractions is 3/585827.Finally, GCF of Fractions for 4404/209, 8871/2803 is 3/585827.