GCF of 9686/997, 5712/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9686/997, 5712/380 i.e 2/378860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9686/997, 5712/380.
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 9686/997,5712/380?
Given fractions are 9686/997,5712/380
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 9686/997,5712/380, numerators are 9686,5712
Denominators are 997,380
The GCF of 9686,5712 is 2 .
LCM of 997,380 is 378860.
The greatest common factor of 9686/997,5712/380 = [GCF of 9686,5712]/[LCM of 997,380]= 2/378860
Therefore, the GCF of 9686/997,5712/380 is 2/378860.
To find the highest common factor of 9686,5712, we have to find the factors of both numbers and list the highest common factor.
The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The HCF of 9686,5712 is 2.
Lets's calculate GCF of 9686,5712
| 2 | 9686, 5712 |
| 4843, 2856 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9686,5712 By Matching Biggest Common Factor Method
Now, list down the factors of 9686
:1,2,29,58,167,334,4843,9686
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Greatest Common Factor
We found the factors 9686,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 9686,5712 is 2.
Lets's calculate LCM of 997,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 378860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378860
Therefore, the GCF of Fractions 9686/997,5712/380 is 2/378860
Least Common Multiple of 997,380 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 997,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,380) x common factors =1 x 1 = 1
LCM(997,380) = ( 997 × 380 ) / 1
LCM(997,380) = 378860 / 1
LCM(997,380) = 378860
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FAQs on GCF of Fractions of 9686/997, 5712/380
1. What is the HCF of 9686,5712?
The HCF of 9686,5712 is 2
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 9686/997, 5712/380?
Answer: GCF of Numerators as per given numbers 9686/997, 5712/380 is
GCF of Numerators i.e. for 9686,5712 is 2
LCM of denominators i.e. for 997,380 is 378860.
Thus, GCF of Fractions is 2/378860.Finally, GCF of Fractions for 9686/997, 5712/380 is 2/378860.