GCF of 9503/489, 4342/3867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9503/489, 4342/3867 i.e 13/630321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9503/489, 4342/3867.
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 9503/489,4342/3867?
Given fractions are 9503/489,4342/3867
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 9503/489,4342/3867, numerators are 9503,4342
Denominators are 489,3867
The GCF of 9503,4342 is 13 .
LCM of 489,3867 is 630321.
The greatest common factor of 9503/489,4342/3867 = [GCF of 9503,4342]/[LCM of 489,3867]= 13/630321
Therefore, the GCF of 9503/489,4342/3867 is 13/630321.
To find the highest common factor of 9503,4342, we have to find the factors of both numbers and list the highest common factor.
The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503
The factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342
The HCF of 9503,4342 is 13.
Lets's calculate GCF of 9503,4342
| 13 | 9503, 4342 |
| 731, 334 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9503,4342 By Matching Biggest Common Factor Method
Now, list down the factors of 9503
:1,13,17,43,221,559,731,9503
Now, list down the factors of 4342
:1,2,13,26,167,334,2171,4342
Greatest Common Factor
We found the factors 9503,4342 . The biggest common factor number is the GCF number.
So the greatest common factor 9503,4342 is 13.
Lets's calculate LCM of 489,3867
| 3 | 489, 3867 |
| 163, 1289 |
∴ So the LCM of the given numbers is 3 x 163 x 1289 = 630321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/630321
Therefore, the GCF of Fractions 9503/489,4342/3867 is 13/630321
Least Common Multiple of 489,3867 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 489,3867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,3867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,3867) x common factors =3 x 1 = 3
LCM(489,3867) = ( 489 × 3867 ) / 3
LCM(489,3867) = 1890963 / 3
LCM(489,3867) = 630321
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FAQs on GCF of Fractions of 9503/489, 4342/3867
1. What is the HCF of 9503,4342?
The HCF of 9503,4342 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 9503/489, 4342/3867?
Answer: GCF of Numerators as per given numbers 9503/489, 4342/3867 is
GCF of Numerators i.e. for 9503,4342 is 13
LCM of denominators i.e. for 489,3867 is 630321.
Thus, GCF of Fractions is 13/630321.Finally, GCF of Fractions for 9503/489, 4342/3867 is 13/630321.