GCF of 5712/248, 9086/9946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5712/248, 9086/9946 i.e 14/1233304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5712/248, 9086/9946.
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 5712/248,9086/9946?
Given fractions are 5712/248,9086/9946
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 5712/248,9086/9946, numerators are 5712,9086
Denominators are 248,9946
The GCF of 5712,9086 is 14 .
LCM of 248,9946 is 1233304.
The greatest common factor of 5712/248,9086/9946 = [GCF of 5712,9086]/[LCM of 248,9946]= 14/1233304
Therefore, the GCF of 5712/248,9086/9946 is 14/1233304.
To find the highest common factor of 5712,9086, we have to find the factors of both numbers and list the highest common factor.
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086
The HCF of 5712,9086 is 14.
Lets's calculate GCF of 5712,9086
| 2 | 5712, 9086 |
| 7 | 2856, 4543 |
| 408, 649 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5712,9086 By Matching Biggest Common Factor Method
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Now, list down the factors of 9086
:1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Greatest Common Factor
We found the factors 5712,9086 . The biggest common factor number is the GCF number.
So the greatest common factor 5712,9086 is 14.
Lets's calculate LCM of 248,9946
| 2 | 248, 9946 |
| 124, 4973 |
∴ So the LCM of the given numbers is 2 x 124 x 4973 = 1233304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1233304
Therefore, the GCF of Fractions 5712/248,9086/9946 is 14/1233304
Least Common Multiple of 248,9946 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 248,9946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,9946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(248,9946) x common factors =2 x 1 = 2
LCM(248,9946) = ( 248 × 9946 ) / 2
LCM(248,9946) = 2466608 / 2
LCM(248,9946) = 1233304
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FAQs on GCF of Fractions of 5712/248, 9086/9946
1. What is the HCF of 5712,9086?
The HCF of 5712,9086 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 5712/248, 9086/9946?
Answer: GCF of Numerators as per given numbers 5712/248, 9086/9946 is
GCF of Numerators i.e. for 5712,9086 is 14
LCM of denominators i.e. for 248,9946 is 1233304.
Thus, GCF of Fractions is 14/1233304.Finally, GCF of Fractions for 5712/248, 9086/9946 is 14/1233304.