GCF of 9642/130, 8463/791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9642/130, 8463/791 i.e 3/102830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9642/130, 8463/791.
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 9642/130,8463/791?
Given fractions are 9642/130,8463/791
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 9642/130,8463/791, numerators are 9642,8463
Denominators are 130,791
The GCF of 9642,8463 is 3 .
LCM of 130,791 is 102830.
The greatest common factor of 9642/130,8463/791 = [GCF of 9642,8463]/[LCM of 130,791]= 3/102830
Therefore, the GCF of 9642/130,8463/791 is 3/102830.
To find the highest common factor of 9642,8463, we have to find the factors of both numbers and list the highest common factor.
The factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642
The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
The HCF of 9642,8463 is 3.
Lets's calculate GCF of 9642,8463
| 3 | 9642, 8463 |
| 3214, 2821 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9642,8463 By Matching Biggest Common Factor Method
Now, list down the factors of 9642
:1,2,3,6,1607,3214,4821,9642
Now, list down the factors of 8463
:1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463
Greatest Common Factor
We found the factors 9642,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 9642,8463 is 3.
Lets's calculate LCM of 130,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 102830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102830
Therefore, the GCF of Fractions 9642/130,8463/791 is 3/102830
Least Common Multiple of 130,791 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 130,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,791) x common factors =1 x 1 = 1
LCM(130,791) = ( 130 × 791 ) / 1
LCM(130,791) = 102830 / 1
LCM(130,791) = 102830
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FAQs on GCF of Fractions of 9642/130, 8463/791
1. What is the HCF of 9642,8463?
The HCF of 9642,8463 is 3
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 9642/130, 8463/791?
Answer: GCF of Numerators as per given numbers 9642/130, 8463/791 is
GCF of Numerators i.e. for 9642,8463 is 3
LCM of denominators i.e. for 130,791 is 102830.
Thus, GCF of Fractions is 3/102830.Finally, GCF of Fractions for 9642/130, 8463/791 is 3/102830.