GCF of 9792/212, 3281/5096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9792/212, 3281/5096 i.e 17/270088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9792/212, 3281/5096.
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 9792/212,3281/5096?
Given fractions are 9792/212,3281/5096
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 9792/212,3281/5096, numerators are 9792,3281
Denominators are 212,5096
The GCF of 9792,3281 is 17 .
LCM of 212,5096 is 270088.
The greatest common factor of 9792/212,3281/5096 = [GCF of 9792,3281]/[LCM of 212,5096]= 17/270088
Therefore, the GCF of 9792/212,3281/5096 is 17/270088.
To find the highest common factor of 9792,3281, we have to find the factors of both numbers and list the highest common factor.
The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The factors of 3281 are 1, 17, 193, 3281
The HCF of 9792,3281 is 17.
Lets's calculate GCF of 9792,3281
| 17 | 9792, 3281 |
| 576, 193 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9792,3281 By Matching Biggest Common Factor Method
Now, list down the factors of 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Now, list down the factors of 3281
:1,17,193,3281
Greatest Common Factor
We found the factors 9792,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,3281 is 17.
Lets's calculate LCM of 212,5096
| 2 | 212, 5096 |
| 2 | 106, 2548 |
| 53, 1274 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 1274 = 270088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/270088
Therefore, the GCF of Fractions 9792/212,3281/5096 is 17/270088
Least Common Multiple of 212,5096 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 212,5096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,5096) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,5096) x common factors =4 x 1 = 4
LCM(212,5096) = ( 212 × 5096 ) / 4
LCM(212,5096) = 1080352 / 4
LCM(212,5096) = 270088
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FAQs on GCF of Fractions of 9792/212, 3281/5096
1. What is the HCF of 9792,3281?
The HCF of 9792,3281 is 17
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 9792/212, 3281/5096?
Answer: GCF of Numerators as per given numbers 9792/212, 3281/5096 is
GCF of Numerators i.e. for 9792,3281 is 17
LCM of denominators i.e. for 212,5096 is 270088.
Thus, GCF of Fractions is 17/270088.Finally, GCF of Fractions for 9792/212, 3281/5096 is 17/270088.