GCF of 6663/539, 3075/8071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6663/539, 3075/8071 i.e 3/621467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6663/539, 3075/8071.
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 6663/539,3075/8071?
Given fractions are 6663/539,3075/8071
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 6663/539,3075/8071, numerators are 6663,3075
Denominators are 539,8071
The GCF of 6663,3075 is 3 .
LCM of 539,8071 is 621467.
The greatest common factor of 6663/539,3075/8071 = [GCF of 6663,3075]/[LCM of 539,8071]= 3/621467
Therefore, the GCF of 6663/539,3075/8071 is 3/621467.
To find the highest common factor of 6663,3075, we have to find the factors of both numbers and list the highest common factor.
The factors of 6663 are 1, 3, 2221, 6663
The factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075
The HCF of 6663,3075 is 3.
Lets's calculate GCF of 6663,3075
| 3 | 6663, 3075 |
| 2221, 1025 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6663,3075 By Matching Biggest Common Factor Method
Now, list down the factors of 6663
:1,3,2221,6663
Now, list down the factors of 3075
:1,3,5,15,25,41,75,123,205,615,1025,3075
Greatest Common Factor
We found the factors 6663,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 6663,3075 is 3.
Lets's calculate LCM of 539,8071
| 7 | 539, 8071 |
| 77, 1153 |
∴ So the LCM of the given numbers is 7 x 77 x 1153 = 621467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/621467
Therefore, the GCF of Fractions 6663/539,3075/8071 is 3/621467
Least Common Multiple of 539,8071 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 539,8071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,8071) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(539,8071) x common factors =7 x 1 = 7
LCM(539,8071) = ( 539 × 8071 ) / 7
LCM(539,8071) = 4350269 / 7
LCM(539,8071) = 621467
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FAQs on GCF of Fractions of 6663/539, 3075/8071
1. What is the HCF of 6663,3075?
The HCF of 6663,3075 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 6663/539, 3075/8071?
Answer: GCF of Numerators as per given numbers 6663/539, 3075/8071 is
GCF of Numerators i.e. for 6663,3075 is 3
LCM of denominators i.e. for 539,8071 is 621467.
Thus, GCF of Fractions is 3/621467.Finally, GCF of Fractions for 6663/539, 3075/8071 is 3/621467.