GCF of 6383/795, 2158/4761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6383/795, 2158/4761 i.e 13/1261665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6383/795, 2158/4761.
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 6383/795,2158/4761?
Given fractions are 6383/795,2158/4761
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 6383/795,2158/4761, numerators are 6383,2158
Denominators are 795,4761
The GCF of 6383,2158 is 13 .
LCM of 795,4761 is 1261665.
The greatest common factor of 6383/795,2158/4761 = [GCF of 6383,2158]/[LCM of 795,4761]= 13/1261665
Therefore, the GCF of 6383/795,2158/4761 is 13/1261665.
To find the highest common factor of 6383,2158, we have to find the factors of both numbers and list the highest common factor.
The factors of 6383 are 1, 13, 491, 6383
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The HCF of 6383,2158 is 13.
Lets's calculate GCF of 6383,2158
| 13 | 6383, 2158 |
| 491, 166 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6383,2158 By Matching Biggest Common Factor Method
Now, list down the factors of 6383
:1,13,491,6383
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 6383,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 6383,2158 is 13.
Lets's calculate LCM of 795,4761
| 3 | 795, 4761 |
| 265, 1587 |
∴ So the LCM of the given numbers is 3 x 265 x 1587 = 1261665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1261665
Therefore, the GCF of Fractions 6383/795,2158/4761 is 13/1261665
Least Common Multiple of 795,4761 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 795,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,4761) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,4761) x common factors =3 x 1 = 3
LCM(795,4761) = ( 795 × 4761 ) / 3
LCM(795,4761) = 3784995 / 3
LCM(795,4761) = 1261665
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FAQs on GCF of Fractions of 6383/795, 2158/4761
1. What is the HCF of 6383,2158?
The HCF of 6383,2158 is 13
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 6383/795, 2158/4761?
Answer: GCF of Numerators as per given numbers 6383/795, 2158/4761 is
GCF of Numerators i.e. for 6383,2158 is 13
LCM of denominators i.e. for 795,4761 is 1261665.
Thus, GCF of Fractions is 13/1261665.Finally, GCF of Fractions for 6383/795, 2158/4761 is 13/1261665.