GCF of 6643/472, 7841/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6643/472, 7841/863 i.e 1/407336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6643/472, 7841/863.
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 6643/472,7841/863?
Given fractions are 6643/472,7841/863
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 6643/472,7841/863, numerators are 6643,7841
Denominators are 472,863
The GCF of 6643,7841 is 1 .
LCM of 472,863 is 407336.
The greatest common factor of 6643/472,7841/863 = [GCF of 6643,7841]/[LCM of 472,863]= 1/407336
Therefore, the GCF of 6643/472,7841/863 is 1/407336.
To find the highest common factor of 6643,7841, we have to find the factors of both numbers and list the highest common factor.
The factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643
The factors of 7841 are 1, 7841
The HCF of 6643,7841 is 1.
Lets's calculate GCF of 6643,7841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6643,7841 By Matching Biggest Common Factor Method
Now, list down the factors of 6643
:1,7,13,73,91,511,949,6643
Now, list down the factors of 7841
:1,7841
Greatest Common Factor
We found the factors 6643,7841 . The biggest common factor number is the GCF number.
So the greatest common factor 6643,7841 is 1.
Lets's calculate LCM of 472,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 407336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407336
Therefore, the GCF of Fractions 6643/472,7841/863 is 1/407336
Least Common Multiple of 472,863 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 472,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,863) x common factors =1 x 1 = 1
LCM(472,863) = ( 472 × 863 ) / 1
LCM(472,863) = 407336 / 1
LCM(472,863) = 407336
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FAQs on GCF of Fractions of 6643/472, 7841/863
1. What is the HCF of 6643,7841?
The HCF of 6643,7841 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 6643/472, 7841/863?
Answer: GCF of Numerators as per given numbers 6643/472, 7841/863 is
GCF of Numerators i.e. for 6643,7841 is 1
LCM of denominators i.e. for 472,863 is 407336.
Thus, GCF of Fractions is 1/407336.Finally, GCF of Fractions for 6643/472, 7841/863 is 1/407336.