GCF of 9384/838, 7863/4298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9384/838, 7863/4298 i.e 3/1800862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9384/838, 7863/4298.
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 9384/838,7863/4298?
Given fractions are 9384/838,7863/4298
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 9384/838,7863/4298, numerators are 9384,7863
Denominators are 838,4298
The GCF of 9384,7863 is 3 .
LCM of 838,4298 is 1800862.
The greatest common factor of 9384/838,7863/4298 = [GCF of 9384,7863]/[LCM of 838,4298]= 3/1800862
Therefore, the GCF of 9384/838,7863/4298 is 3/1800862.
To find the highest common factor of 9384,7863, we have to find the factors of both numbers and list the highest common factor.
The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384
The factors of 7863 are 1, 3, 2621, 7863
The HCF of 9384,7863 is 3.
Lets's calculate GCF of 9384,7863
| 3 | 9384, 7863 |
| 3128, 2621 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9384,7863 By Matching Biggest Common Factor Method
Now, list down the factors of 9384
:1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Now, list down the factors of 7863
:1,3,2621,7863
Greatest Common Factor
We found the factors 9384,7863 . The biggest common factor number is the GCF number.
So the greatest common factor 9384,7863 is 3.
Lets's calculate LCM of 838,4298
| 2 | 838, 4298 |
| 419, 2149 |
∴ So the LCM of the given numbers is 2 x 419 x 2149 = 1800862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1800862
Therefore, the GCF of Fractions 9384/838,7863/4298 is 3/1800862
Least Common Multiple of 838,4298 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 838,4298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4298) x common factors =2 x 1 = 2
LCM(838,4298) = ( 838 × 4298 ) / 2
LCM(838,4298) = 3601724 / 2
LCM(838,4298) = 1800862
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FAQs on GCF of Fractions of 9384/838, 7863/4298
1. What is the HCF of 9384,7863?
The HCF of 9384,7863 is 3
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 9384/838, 7863/4298?
Answer: GCF of Numerators as per given numbers 9384/838, 7863/4298 is
GCF of Numerators i.e. for 9384,7863 is 3
LCM of denominators i.e. for 838,4298 is 1800862.
Thus, GCF of Fractions is 3/1800862.Finally, GCF of Fractions for 9384/838, 7863/4298 is 3/1800862.