GCF of 8592/528, 8160/8979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8592/528, 8160/8979 i.e 48/1580304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8592/528, 8160/8979.
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 8592/528,8160/8979?
Given fractions are 8592/528,8160/8979
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 8592/528,8160/8979, numerators are 8592,8160
Denominators are 528,8979
The GCF of 8592,8160 is 48 .
LCM of 528,8979 is 1580304.
The greatest common factor of 8592/528,8160/8979 = [GCF of 8592,8160]/[LCM of 528,8979]= 48/1580304
Therefore, the GCF of 8592/528,8160/8979 is 48/1580304.
To find the highest common factor of 8592,8160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8592 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592
The factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
The HCF of 8592,8160 is 48.
Lets's calculate GCF of 8592,8160
| 2 | 8592, 8160 |
| 2 | 4296, 4080 |
| 2 | 2148, 2040 |
| 2 | 1074, 1020 |
| 3 | 537, 510 |
| 179, 170 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 8592,8160 By Matching Biggest Common Factor Method
Now, list down the factors of 8592
:1,2,3,4,6,8,12,16,24,48,179,358,537,716,1074,1432,2148,2864,4296,8592
Now, list down the factors of 8160
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 8592,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 8592,8160 is 48.
Lets's calculate LCM of 528,8979
| 3 | 528, 8979 |
| 176, 2993 |
∴ So the LCM of the given numbers is 3 x 176 x 2993 = 1580304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/1580304
Therefore, the GCF of Fractions 8592/528,8160/8979 is 48/1580304
Least Common Multiple of 528,8979 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 528,8979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,8979) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(528,8979) x common factors =3 x 1 = 3
LCM(528,8979) = ( 528 × 8979 ) / 3
LCM(528,8979) = 4740912 / 3
LCM(528,8979) = 1580304
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FAQs on GCF of Fractions of 8592/528, 8160/8979
1. What is the HCF of 8592,8160?
The HCF of 8592,8160 is 48
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 8592/528, 8160/8979?
Answer: GCF of Numerators as per given numbers 8592/528, 8160/8979 is
GCF of Numerators i.e. for 8592,8160 is 48
LCM of denominators i.e. for 528,8979 is 1580304.
Thus, GCF of Fractions is 48/1580304.Finally, GCF of Fractions for 8592/528, 8160/8979 is 48/1580304.