GCF of 8015/720, 8976/8136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8015/720, 8976/8136 i.e 1/81360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8015/720, 8976/8136.
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 8015/720,8976/8136?
Given fractions are 8015/720,8976/8136
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 8015/720,8976/8136, numerators are 8015,8976
Denominators are 720,8136
The GCF of 8015,8976 is 1 .
LCM of 720,8136 is 81360.
The greatest common factor of 8015/720,8976/8136 = [GCF of 8015,8976]/[LCM of 720,8136]= 1/81360
Therefore, the GCF of 8015/720,8976/8136 is 1/81360.
To find the highest common factor of 8015,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 8015,8976 is 1.
Lets's calculate GCF of 8015,8976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8015,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 8015
:1,5,7,35,229,1145,1603,8015
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 8015,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 8015,8976 is 1.
Lets's calculate LCM of 720,8136
| 2 | 720, 8136 |
| 2 | 360, 4068 |
| 2 | 180, 2034 |
| 3 | 90, 1017 |
| 3 | 30, 339 |
| 10, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 10 x 113 = 81360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81360
Therefore, the GCF of Fractions 8015/720,8976/8136 is 1/81360
Least Common Multiple of 720,8136 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 720,8136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,8136) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(720,8136) x common factors =72 x 1 = 72
LCM(720,8136) = ( 720 × 8136 ) / 72
LCM(720,8136) = 5857920 / 72
LCM(720,8136) = 81360
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FAQs on GCF of Fractions of 8015/720, 8976/8136
1. What is the HCF of 8015,8976?
The HCF of 8015,8976 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 8015/720, 8976/8136?
Answer: GCF of Numerators as per given numbers 8015/720, 8976/8136 is
GCF of Numerators i.e. for 8015,8976 is 1
LCM of denominators i.e. for 720,8136 is 81360.
Thus, GCF of Fractions is 1/81360.Finally, GCF of Fractions for 8015/720, 8976/8136 is 1/81360.