GCF of 9792/378, 9643/2060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9792/378, 9643/2060 i.e 1/389340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9792/378, 9643/2060.
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 9792/378,9643/2060?
Given fractions are 9792/378,9643/2060
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 9792/378,9643/2060, numerators are 9792,9643
Denominators are 378,2060
The GCF of 9792,9643 is 1 .
LCM of 378,2060 is 389340.
The greatest common factor of 9792/378,9643/2060 = [GCF of 9792,9643]/[LCM of 378,2060]= 1/389340
Therefore, the GCF of 9792/378,9643/2060 is 1/389340.
To find the highest common factor of 9792,9643, 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 9643 are 1, 9643
The HCF of 9792,9643 is 1.
Lets's calculate GCF of 9792,9643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9792,9643 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 9643
:1,9643
Greatest Common Factor
We found the factors 9792,9643 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,9643 is 1.
Lets's calculate LCM of 378,2060
| 2 | 378, 2060 |
| 189, 1030 |
∴ So the LCM of the given numbers is 2 x 189 x 1030 = 389340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389340
Therefore, the GCF of Fractions 9792/378,9643/2060 is 1/389340
Least Common Multiple of 378,2060 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 378,2060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,2060) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,2060) x common factors =2 x 1 = 2
LCM(378,2060) = ( 378 × 2060 ) / 2
LCM(378,2060) = 778680 / 2
LCM(378,2060) = 389340
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FAQs on GCF of Fractions of 9792/378, 9643/2060
1. What is the HCF of 9792,9643?
The HCF of 9792,9643 is 1
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 9792/378, 9643/2060?
Answer: GCF of Numerators as per given numbers 9792/378, 9643/2060 is
GCF of Numerators i.e. for 9792,9643 is 1
LCM of denominators i.e. for 378,2060 is 389340.
Thus, GCF of Fractions is 1/389340.Finally, GCF of Fractions for 9792/378, 9643/2060 is 1/389340.