GCF of 9627/995, 8916/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9627/995, 8916/796 i.e 3/3980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9627/995, 8916/796.
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 9627/995,8916/796?
Given fractions are 9627/995,8916/796
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 9627/995,8916/796, numerators are 9627,8916
Denominators are 995,796
The GCF of 9627,8916 is 3 .
LCM of 995,796 is 3980.
The greatest common factor of 9627/995,8916/796 = [GCF of 9627,8916]/[LCM of 995,796]= 3/3980
Therefore, the GCF of 9627/995,8916/796 is 3/3980.
To find the highest common factor of 9627,8916, we have to find the factors of both numbers and list the highest common factor.
The factors of 9627 are 1, 3, 3209, 9627
The factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916
The HCF of 9627,8916 is 3.
Lets's calculate GCF of 9627,8916
| 3 | 9627, 8916 |
| 3209, 2972 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9627,8916 By Matching Biggest Common Factor Method
Now, list down the factors of 9627
:1,3,3209,9627
Now, list down the factors of 8916
:1,2,3,4,6,12,743,1486,2229,2972,4458,8916
Greatest Common Factor
We found the factors 9627,8916 . The biggest common factor number is the GCF number.
So the greatest common factor 9627,8916 is 3.
Lets's calculate LCM of 995,796
| 199 | 995, 796 |
| 5, 4 |
∴ So the LCM of the given numbers is 199 x 5 x 4 = 3980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3980
Therefore, the GCF of Fractions 9627/995,8916/796 is 3/3980
Least Common Multiple of 995,796 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 995,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,796) = 199
common factors(in case of two or more numbers have common factors) = 1
GCF(995,796) x common factors =199 x 1 = 199
LCM(995,796) = ( 995 × 796 ) / 199
LCM(995,796) = 792020 / 199
LCM(995,796) = 3980
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FAQs on GCF of Fractions of 9627/995, 8916/796
1. What is the HCF of 9627,8916?
The HCF of 9627,8916 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 9627/995, 8916/796?
Answer: GCF of Numerators as per given numbers 9627/995, 8916/796 is
GCF of Numerators i.e. for 9627,8916 is 3
LCM of denominators i.e. for 995,796 is 3980.
Thus, GCF of Fractions is 3/3980.Finally, GCF of Fractions for 9627/995, 8916/796 is 3/3980.