GCF of 4891/323, 5336/1383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4891/323, 5336/1383 i.e 1/446709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4891/323, 5336/1383.
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 4891/323,5336/1383?
Given fractions are 4891/323,5336/1383
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 4891/323,5336/1383, numerators are 4891,5336
Denominators are 323,1383
The GCF of 4891,5336 is 1 .
LCM of 323,1383 is 446709.
The greatest common factor of 4891/323,5336/1383 = [GCF of 4891,5336]/[LCM of 323,1383]= 1/446709
Therefore, the GCF of 4891/323,5336/1383 is 1/446709.
To find the highest common factor of 4891,5336, we have to find the factors of both numbers and list the highest common factor.
The factors of 4891 are 1, 67, 73, 4891
The factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336
The HCF of 4891,5336 is 1.
Lets's calculate GCF of 4891,5336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4891,5336 By Matching Biggest Common Factor Method
Now, list down the factors of 4891
:1,67,73,4891
Now, list down the factors of 5336
:1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336
Greatest Common Factor
We found the factors 4891,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 4891,5336 is 1.
Lets's calculate LCM of 323,1383
Given numbers has no common factors except 1. So, there LCM is their product i.e 446709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446709
Therefore, the GCF of Fractions 4891/323,5336/1383 is 1/446709
Least Common Multiple of 323,1383 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 323,1383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,1383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,1383) x common factors =1 x 1 = 1
LCM(323,1383) = ( 323 × 1383 ) / 1
LCM(323,1383) = 446709 / 1
LCM(323,1383) = 446709
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FAQs on GCF of Fractions of 4891/323, 5336/1383
1. What is the HCF of 4891,5336?
The HCF of 4891,5336 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 4891/323, 5336/1383?
Answer: GCF of Numerators as per given numbers 4891/323, 5336/1383 is
GCF of Numerators i.e. for 4891,5336 is 1
LCM of denominators i.e. for 323,1383 is 446709.
Thus, GCF of Fractions is 1/446709.Finally, GCF of Fractions for 4891/323, 5336/1383 is 1/446709.