GCF of 9548/414, 4798/4176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9548/414, 4798/4176 i.e 2/96048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9548/414, 4798/4176.
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 9548/414,4798/4176?
Given fractions are 9548/414,4798/4176
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 9548/414,4798/4176, numerators are 9548,4798
Denominators are 414,4176
The GCF of 9548,4798 is 2 .
LCM of 414,4176 is 96048.
The greatest common factor of 9548/414,4798/4176 = [GCF of 9548,4798]/[LCM of 414,4176]= 2/96048
Therefore, the GCF of 9548/414,4798/4176 is 2/96048.
To find the highest common factor of 9548,4798, we have to find the factors of both numbers and list the highest common factor.
The factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
The factors of 4798 are 1, 2, 2399, 4798
The HCF of 9548,4798 is 2.
Lets's calculate GCF of 9548,4798
| 2 | 9548, 4798 |
| 4774, 2399 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9548,4798 By Matching Biggest Common Factor Method
Now, list down the factors of 9548
:1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Now, list down the factors of 4798
:1,2,2399,4798
Greatest Common Factor
We found the factors 9548,4798 . The biggest common factor number is the GCF number.
So the greatest common factor 9548,4798 is 2.
Lets's calculate LCM of 414,4176
| 2 | 414, 4176 |
| 3 | 207, 2088 |
| 3 | 69, 696 |
| 23, 232 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 232 = 96048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96048
Therefore, the GCF of Fractions 9548/414,4798/4176 is 2/96048
Least Common Multiple of 414,4176 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 414,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,4176) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(414,4176) x common factors =18 x 1 = 18
LCM(414,4176) = ( 414 × 4176 ) / 18
LCM(414,4176) = 1728864 / 18
LCM(414,4176) = 96048
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FAQs on GCF of Fractions of 9548/414, 4798/4176
1. What is the HCF of 9548,4798?
The HCF of 9548,4798 is 2
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 9548/414, 4798/4176?
Answer: GCF of Numerators as per given numbers 9548/414, 4798/4176 is
GCF of Numerators i.e. for 9548,4798 is 2
LCM of denominators i.e. for 414,4176 is 96048.
Thus, GCF of Fractions is 2/96048.Finally, GCF of Fractions for 9548/414, 4798/4176 is 2/96048.