GCF of 9792/433, 1386/655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9792/433, 1386/655 i.e 18/283615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9792/433, 1386/655.
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 9792/433,1386/655?
Given fractions are 9792/433,1386/655
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 9792/433,1386/655, numerators are 9792,1386
Denominators are 433,655
The GCF of 9792,1386 is 18 .
LCM of 433,655 is 283615.
The greatest common factor of 9792/433,1386/655 = [GCF of 9792,1386]/[LCM of 433,655]= 18/283615
Therefore, the GCF of 9792/433,1386/655 is 18/283615.
To find the highest common factor of 9792,1386, 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 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386
The HCF of 9792,1386 is 18.
Lets's calculate GCF of 9792,1386
| 2 | 9792, 1386 |
| 3 | 4896, 693 |
| 3 | 1632, 231 |
| 544, 77 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9792,1386 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 1386
:1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386
Greatest Common Factor
We found the factors 9792,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,1386 is 18.
Lets's calculate LCM of 433,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 283615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/283615
Therefore, the GCF of Fractions 9792/433,1386/655 is 18/283615
Least Common Multiple of 433,655 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 433,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,655) x common factors =1 x 1 = 1
LCM(433,655) = ( 433 × 655 ) / 1
LCM(433,655) = 283615 / 1
LCM(433,655) = 283615
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9792/433, 1386/655
1. What is the HCF of 9792,1386?
The HCF of 9792,1386 is 18
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 9792/433, 1386/655?
Answer: GCF of Numerators as per given numbers 9792/433, 1386/655 is
GCF of Numerators i.e. for 9792,1386 is 18
LCM of denominators i.e. for 433,655 is 283615.
Thus, GCF of Fractions is 18/283615.Finally, GCF of Fractions for 9792/433, 1386/655 is 18/283615.