GCF of 9338/827, 4844/6147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9338/827, 4844/6147 i.e 14/5083569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9338/827, 4844/6147.
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 9338/827,4844/6147?
Given fractions are 9338/827,4844/6147
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 9338/827,4844/6147, numerators are 9338,4844
Denominators are 827,6147
The GCF of 9338,4844 is 14 .
LCM of 827,6147 is 5083569.
The greatest common factor of 9338/827,4844/6147 = [GCF of 9338,4844]/[LCM of 827,6147]= 14/5083569
Therefore, the GCF of 9338/827,4844/6147 is 14/5083569.
To find the highest common factor of 9338,4844, we have to find the factors of both numbers and list the highest common factor.
The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338
The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
The HCF of 9338,4844 is 14.
Lets's calculate GCF of 9338,4844
| 2 | 9338, 4844 |
| 7 | 4669, 2422 |
| 667, 346 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9338,4844 By Matching Biggest Common Factor Method
Now, list down the factors of 9338
:1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338
Now, list down the factors of 4844
:1,2,4,7,14,28,173,346,692,1211,2422,4844
Greatest Common Factor
We found the factors 9338,4844 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,4844 is 14.
Lets's calculate LCM of 827,6147
Given numbers has no common factors except 1. So, there LCM is their product i.e 5083569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5083569
Therefore, the GCF of Fractions 9338/827,4844/6147 is 14/5083569
Least Common Multiple of 827,6147 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 827,6147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,6147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,6147) x common factors =1 x 1 = 1
LCM(827,6147) = ( 827 × 6147 ) / 1
LCM(827,6147) = 5083569 / 1
LCM(827,6147) = 5083569
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FAQs on GCF of Fractions of 9338/827, 4844/6147
1. What is the HCF of 9338,4844?
The HCF of 9338,4844 is 14
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 9338/827, 4844/6147?
Answer: GCF of Numerators as per given numbers 9338/827, 4844/6147 is
GCF of Numerators i.e. for 9338,4844 is 14
LCM of denominators i.e. for 827,6147 is 5083569.
Thus, GCF of Fractions is 14/5083569.Finally, GCF of Fractions for 9338/827, 4844/6147 is 14/5083569.