GCF of 3018/333, 8060/8703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3018/333, 8060/8703 i.e 2/322011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3018/333, 8060/8703.
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 3018/333,8060/8703?
Given fractions are 3018/333,8060/8703
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 3018/333,8060/8703, numerators are 3018,8060
Denominators are 333,8703
The GCF of 3018,8060 is 2 .
LCM of 333,8703 is 322011.
The greatest common factor of 3018/333,8060/8703 = [GCF of 3018,8060]/[LCM of 333,8703]= 2/322011
Therefore, the GCF of 3018/333,8060/8703 is 2/322011.
To find the highest common factor of 3018,8060, we have to find the factors of both numbers and list the highest common factor.
The factors of 3018 are 1, 2, 3, 6, 503, 1006, 1509, 3018
The factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
The HCF of 3018,8060 is 2.
Lets's calculate GCF of 3018,8060
| 2 | 3018, 8060 |
| 1509, 4030 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3018,8060 By Matching Biggest Common Factor Method
Now, list down the factors of 3018
:1,2,3,6,503,1006,1509,3018
Now, list down the factors of 8060
:1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 3018,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 3018,8060 is 2.
Lets's calculate LCM of 333,8703
| 3 | 333, 8703 |
| 3 | 111, 2901 |
| 37, 967 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 967 = 322011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/322011
Therefore, the GCF of Fractions 3018/333,8060/8703 is 2/322011
Least Common Multiple of 333,8703 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 333,8703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,8703) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(333,8703) x common factors =9 x 1 = 9
LCM(333,8703) = ( 333 × 8703 ) / 9
LCM(333,8703) = 2898099 / 9
LCM(333,8703) = 322011
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FAQs on GCF of Fractions of 3018/333, 8060/8703
1. What is the HCF of 3018,8060?
The HCF of 3018,8060 is 2
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 3018/333, 8060/8703?
Answer: GCF of Numerators as per given numbers 3018/333, 8060/8703 is
GCF of Numerators i.e. for 3018,8060 is 2
LCM of denominators i.e. for 333,8703 is 322011.
Thus, GCF of Fractions is 2/322011.Finally, GCF of Fractions for 3018/333, 8060/8703 is 2/322011.