GCF of 6303/281, 7986/4913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6303/281, 7986/4913 i.e 33/1380553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6303/281, 7986/4913.
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 6303/281,7986/4913?
Given fractions are 6303/281,7986/4913
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 6303/281,7986/4913, numerators are 6303,7986
Denominators are 281,4913
The GCF of 6303,7986 is 33 .
LCM of 281,4913 is 1380553.
The greatest common factor of 6303/281,7986/4913 = [GCF of 6303,7986]/[LCM of 281,4913]= 33/1380553
Therefore, the GCF of 6303/281,7986/4913 is 33/1380553.
To find the highest common factor of 6303,7986, we have to find the factors of both numbers and list the highest common factor.
The factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The HCF of 6303,7986 is 33.
Lets's calculate GCF of 6303,7986
| 3 | 6303, 7986 |
| 11 | 2101, 2662 |
| 191, 242 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 6303,7986 By Matching Biggest Common Factor Method
Now, list down the factors of 6303
:1,3,11,33,191,573,2101,6303
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Greatest Common Factor
We found the factors 6303,7986 . The biggest common factor number is the GCF number.
So the greatest common factor 6303,7986 is 33.
Lets's calculate LCM of 281,4913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1380553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1380553
Therefore, the GCF of Fractions 6303/281,7986/4913 is 33/1380553
Least Common Multiple of 281,4913 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 281,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,4913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,4913) x common factors =1 x 1 = 1
LCM(281,4913) = ( 281 × 4913 ) / 1
LCM(281,4913) = 1380553 / 1
LCM(281,4913) = 1380553
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FAQs on GCF of Fractions of 6303/281, 7986/4913
1. What is the HCF of 6303,7986?
The HCF of 6303,7986 is 33
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 6303/281, 7986/4913?
Answer: GCF of Numerators as per given numbers 6303/281, 7986/4913 is
GCF of Numerators i.e. for 6303,7986 is 33
LCM of denominators i.e. for 281,4913 is 1380553.
Thus, GCF of Fractions is 33/1380553.Finally, GCF of Fractions for 6303/281, 7986/4913 is 33/1380553.