GCF of 5347/309, 8463/2076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5347/309, 8463/2076 i.e 1/213828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5347/309, 8463/2076.
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 5347/309,8463/2076?
Given fractions are 5347/309,8463/2076
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 5347/309,8463/2076, numerators are 5347,8463
Denominators are 309,2076
The GCF of 5347,8463 is 1 .
LCM of 309,2076 is 213828.
The greatest common factor of 5347/309,8463/2076 = [GCF of 5347,8463]/[LCM of 309,2076]= 1/213828
Therefore, the GCF of 5347/309,8463/2076 is 1/213828.
To find the highest common factor of 5347,8463, we have to find the factors of both numbers and list the highest common factor.
The factors of 5347 are 1, 5347
The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
The HCF of 5347,8463 is 1.
Lets's calculate GCF of 5347,8463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5347,8463 By Matching Biggest Common Factor Method
Now, list down the factors of 5347
:1,5347
Now, list down the factors of 8463
:1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463
Greatest Common Factor
We found the factors 5347,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 5347,8463 is 1.
Lets's calculate LCM of 309,2076
| 3 | 309, 2076 |
| 103, 692 |
∴ So the LCM of the given numbers is 3 x 103 x 692 = 213828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213828
Therefore, the GCF of Fractions 5347/309,8463/2076 is 1/213828
Least Common Multiple of 309,2076 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 309,2076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,2076) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,2076) x common factors =3 x 1 = 3
LCM(309,2076) = ( 309 × 2076 ) / 3
LCM(309,2076) = 641484 / 3
LCM(309,2076) = 213828
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FAQs on GCF of Fractions of 5347/309, 8463/2076
1. What is the HCF of 5347,8463?
The HCF of 5347,8463 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 5347/309, 8463/2076?
Answer: GCF of Numerators as per given numbers 5347/309, 8463/2076 is
GCF of Numerators i.e. for 5347,8463 is 1
LCM of denominators i.e. for 309,2076 is 213828.
Thus, GCF of Fractions is 1/213828.Finally, GCF of Fractions for 5347/309, 8463/2076 is 1/213828.