GCF of 8976/472, 6060/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/472, 6060/353 i.e 12/166616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/472, 6060/353.
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 8976/472,6060/353?
Given fractions are 8976/472,6060/353
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 8976/472,6060/353, numerators are 8976,6060
Denominators are 472,353
The GCF of 8976,6060 is 12 .
LCM of 472,353 is 166616.
The greatest common factor of 8976/472,6060/353 = [GCF of 8976,6060]/[LCM of 472,353]= 12/166616
Therefore, the GCF of 8976/472,6060/353 is 12/166616.
To find the highest common factor of 8976,6060, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060
The HCF of 8976,6060 is 12.
Lets's calculate GCF of 8976,6060
| 2 | 8976, 6060 |
| 2 | 4488, 3030 |
| 3 | 2244, 1515 |
| 748, 505 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8976,6060 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6060
:1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060
Greatest Common Factor
We found the factors 8976,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,6060 is 12.
Lets's calculate LCM of 472,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 166616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/166616
Therefore, the GCF of Fractions 8976/472,6060/353 is 12/166616
Least Common Multiple of 472,353 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 472,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,353) x common factors =1 x 1 = 1
LCM(472,353) = ( 472 × 353 ) / 1
LCM(472,353) = 166616 / 1
LCM(472,353) = 166616
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8976/472, 6060/353
1. What is the HCF of 8976,6060?
The HCF of 8976,6060 is 12
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 8976/472, 6060/353?
Answer: GCF of Numerators as per given numbers 8976/472, 6060/353 is
GCF of Numerators i.e. for 8976,6060 is 12
LCM of denominators i.e. for 472,353 is 166616.
Thus, GCF of Fractions is 12/166616.Finally, GCF of Fractions for 8976/472, 6060/353 is 12/166616.