GCF of 9713/593, 5467/1276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9713/593, 5467/1276 i.e 11/756668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9713/593, 5467/1276.
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 9713/593,5467/1276?
Given fractions are 9713/593,5467/1276
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 9713/593,5467/1276, numerators are 9713,5467
Denominators are 593,1276
The GCF of 9713,5467 is 11 .
LCM of 593,1276 is 756668.
The greatest common factor of 9713/593,5467/1276 = [GCF of 9713,5467]/[LCM of 593,1276]= 11/756668
Therefore, the GCF of 9713/593,5467/1276 is 11/756668.
To find the highest common factor of 9713,5467, we have to find the factors of both numbers and list the highest common factor.
The factors of 9713 are 1, 11, 883, 9713
The factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467
The HCF of 9713,5467 is 11.
Lets's calculate GCF of 9713,5467
| 11 | 9713, 5467 |
| 883, 497 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9713,5467 By Matching Biggest Common Factor Method
Now, list down the factors of 9713
:1,11,883,9713
Now, list down the factors of 5467
:1,7,11,71,77,497,781,5467
Greatest Common Factor
We found the factors 9713,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 9713,5467 is 11.
Lets's calculate LCM of 593,1276
Given numbers has no common factors except 1. So, there LCM is their product i.e 756668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/756668
Therefore, the GCF of Fractions 9713/593,5467/1276 is 11/756668
Least Common Multiple of 593,1276 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 593,1276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,1276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,1276) x common factors =1 x 1 = 1
LCM(593,1276) = ( 593 × 1276 ) / 1
LCM(593,1276) = 756668 / 1
LCM(593,1276) = 756668
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FAQs on GCF of Fractions of 9713/593, 5467/1276
1. What is the HCF of 9713,5467?
The HCF of 9713,5467 is 11
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 9713/593, 5467/1276?
Answer: GCF of Numerators as per given numbers 9713/593, 5467/1276 is
GCF of Numerators i.e. for 9713,5467 is 11
LCM of denominators i.e. for 593,1276 is 756668.
Thus, GCF of Fractions is 11/756668.Finally, GCF of Fractions for 9713/593, 5467/1276 is 11/756668.