GCF of 6881/330, 9317/6874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6881/330, 9317/6874 i.e 7/1134210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6881/330, 9317/6874.
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 6881/330,9317/6874?
Given fractions are 6881/330,9317/6874
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 6881/330,9317/6874, numerators are 6881,9317
Denominators are 330,6874
The GCF of 6881,9317 is 7 .
LCM of 330,6874 is 1134210.
The greatest common factor of 6881/330,9317/6874 = [GCF of 6881,9317]/[LCM of 330,6874]= 7/1134210
Therefore, the GCF of 6881/330,9317/6874 is 7/1134210.
To find the highest common factor of 6881,9317, we have to find the factors of both numbers and list the highest common factor.
The factors of 6881 are 1, 7, 983, 6881
The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317
The HCF of 6881,9317 is 7.
Lets's calculate GCF of 6881,9317
| 7 | 6881, 9317 |
| 983, 1331 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6881,9317 By Matching Biggest Common Factor Method
Now, list down the factors of 6881
:1,7,983,6881
Now, list down the factors of 9317
:1,7,11,77,121,847,1331,9317
Greatest Common Factor
We found the factors 6881,9317 . The biggest common factor number is the GCF number.
So the greatest common factor 6881,9317 is 7.
Lets's calculate LCM of 330,6874
| 2 | 330, 6874 |
| 165, 3437 |
∴ So the LCM of the given numbers is 2 x 165 x 3437 = 1134210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1134210
Therefore, the GCF of Fractions 6881/330,9317/6874 is 7/1134210
Least Common Multiple of 330,6874 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 330,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6874) x common factors =2 x 1 = 2
LCM(330,6874) = ( 330 × 6874 ) / 2
LCM(330,6874) = 2268420 / 2
LCM(330,6874) = 1134210
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FAQs on GCF of Fractions of 6881/330, 9317/6874
1. What is the HCF of 6881,9317?
The HCF of 6881,9317 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 6881/330, 9317/6874?
Answer: GCF of Numerators as per given numbers 6881/330, 9317/6874 is
GCF of Numerators i.e. for 6881,9317 is 7
LCM of denominators i.e. for 330,6874 is 1134210.
Thus, GCF of Fractions is 7/1134210.Finally, GCF of Fractions for 6881/330, 9317/6874 is 7/1134210.