GCF of 5330/247, 9269/7596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5330/247, 9269/7596 i.e 13/1876212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5330/247, 9269/7596.
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 5330/247,9269/7596?
Given fractions are 5330/247,9269/7596
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 5330/247,9269/7596, numerators are 5330,9269
Denominators are 247,7596
The GCF of 5330,9269 is 13 .
LCM of 247,7596 is 1876212.
The greatest common factor of 5330/247,9269/7596 = [GCF of 5330,9269]/[LCM of 247,7596]= 13/1876212
Therefore, the GCF of 5330/247,9269/7596 is 13/1876212.
To find the highest common factor of 5330,9269, we have to find the factors of both numbers and list the highest common factor.
The factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330
The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269
The HCF of 5330,9269 is 13.
Lets's calculate GCF of 5330,9269
| 13 | 5330, 9269 |
| 410, 713 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5330,9269 By Matching Biggest Common Factor Method
Now, list down the factors of 5330
:1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Now, list down the factors of 9269
:1,13,23,31,299,403,713,9269
Greatest Common Factor
We found the factors 5330,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,9269 is 13.
Lets's calculate LCM of 247,7596
Given numbers has no common factors except 1. So, there LCM is their product i.e 1876212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1876212
Therefore, the GCF of Fractions 5330/247,9269/7596 is 13/1876212
Least Common Multiple of 247,7596 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 247,7596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,7596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,7596) x common factors =1 x 1 = 1
LCM(247,7596) = ( 247 × 7596 ) / 1
LCM(247,7596) = 1876212 / 1
LCM(247,7596) = 1876212
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FAQs on GCF of Fractions of 5330/247, 9269/7596
1. What is the HCF of 5330,9269?
The HCF of 5330,9269 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 5330/247, 9269/7596?
Answer: GCF of Numerators as per given numbers 5330/247, 9269/7596 is
GCF of Numerators i.e. for 5330,9269 is 13
LCM of denominators i.e. for 247,7596 is 1876212.
Thus, GCF of Fractions is 13/1876212.Finally, GCF of Fractions for 5330/247, 9269/7596 is 13/1876212.