GCF of 7884/192, 6579/1796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7884/192, 6579/1796 i.e 9/86208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7884/192, 6579/1796.
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 7884/192,6579/1796?
Given fractions are 7884/192,6579/1796
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 7884/192,6579/1796, numerators are 7884,6579
Denominators are 192,1796
The GCF of 7884,6579 is 9 .
LCM of 192,1796 is 86208.
The greatest common factor of 7884/192,6579/1796 = [GCF of 7884,6579]/[LCM of 192,1796]= 9/86208
Therefore, the GCF of 7884/192,6579/1796 is 9/86208.
To find the highest common factor of 7884,6579, we have to find the factors of both numbers and list the highest common factor.
The factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884
The factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579
The HCF of 7884,6579 is 9.
Lets's calculate GCF of 7884,6579
| 3 | 7884, 6579 |
| 3 | 2628, 2193 |
| 876, 731 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7884,6579 By Matching Biggest Common Factor Method
Now, list down the factors of 7884
:1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884
Now, list down the factors of 6579
:1,3,9,17,43,51,129,153,387,731,2193,6579
Greatest Common Factor
We found the factors 7884,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 7884,6579 is 9.
Lets's calculate LCM of 192,1796
| 2 | 192, 1796 |
| 2 | 96, 898 |
| 48, 449 |
∴ So the LCM of the given numbers is 2 x 2 x 48 x 449 = 86208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/86208
Therefore, the GCF of Fractions 7884/192,6579/1796 is 9/86208
Least Common Multiple of 192,1796 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 192,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,1796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(192,1796) x common factors =4 x 1 = 4
LCM(192,1796) = ( 192 × 1796 ) / 4
LCM(192,1796) = 344832 / 4
LCM(192,1796) = 86208
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FAQs on GCF of Fractions of 7884/192, 6579/1796
1. What is the HCF of 7884,6579?
The HCF of 7884,6579 is 9
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 7884/192, 6579/1796?
Answer: GCF of Numerators as per given numbers 7884/192, 6579/1796 is
GCF of Numerators i.e. for 7884,6579 is 9
LCM of denominators i.e. for 192,1796 is 86208.
Thus, GCF of Fractions is 9/86208.Finally, GCF of Fractions for 7884/192, 6579/1796 is 9/86208.