GCF of 8843/398, 1799/2888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8843/398, 1799/2888 i.e 1/574712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8843/398, 1799/2888.
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 8843/398,1799/2888?
Given fractions are 8843/398,1799/2888
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 8843/398,1799/2888, numerators are 8843,1799
Denominators are 398,2888
The GCF of 8843,1799 is 1 .
LCM of 398,2888 is 574712.
The greatest common factor of 8843/398,1799/2888 = [GCF of 8843,1799]/[LCM of 398,2888]= 1/574712
Therefore, the GCF of 8843/398,1799/2888 is 1/574712.
To find the highest common factor of 8843,1799, we have to find the factors of both numbers and list the highest common factor.
The factors of 8843 are 1, 37, 239, 8843
The factors of 1799 are 1, 7, 257, 1799
The HCF of 8843,1799 is 1.
Lets's calculate GCF of 8843,1799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8843,1799 By Matching Biggest Common Factor Method
Now, list down the factors of 8843
:1,37,239,8843
Now, list down the factors of 1799
:1,7,257,1799
Greatest Common Factor
We found the factors 8843,1799 . The biggest common factor number is the GCF number.
So the greatest common factor 8843,1799 is 1.
Lets's calculate LCM of 398,2888
| 2 | 398, 2888 |
| 199, 1444 |
∴ So the LCM of the given numbers is 2 x 199 x 1444 = 574712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574712
Therefore, the GCF of Fractions 8843/398,1799/2888 is 1/574712
Least Common Multiple of 398,2888 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 398,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,2888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,2888) x common factors =2 x 1 = 2
LCM(398,2888) = ( 398 × 2888 ) / 2
LCM(398,2888) = 1149424 / 2
LCM(398,2888) = 574712
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FAQs on GCF of Fractions of 8843/398, 1799/2888
1. What is the HCF of 8843,1799?
The HCF of 8843,1799 is 1
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 8843/398, 1799/2888?
Answer: GCF of Numerators as per given numbers 8843/398, 1799/2888 is
GCF of Numerators i.e. for 8843,1799 is 1
LCM of denominators i.e. for 398,2888 is 574712.
Thus, GCF of Fractions is 1/574712.Finally, GCF of Fractions for 8843/398, 1799/2888 is 1/574712.