GCF of 8016/955, 9500/6962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8016/955, 9500/6962 i.e 4/6648710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8016/955, 9500/6962.
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 8016/955,9500/6962?
Given fractions are 8016/955,9500/6962
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 8016/955,9500/6962, numerators are 8016,9500
Denominators are 955,6962
The GCF of 8016,9500 is 4 .
LCM of 955,6962 is 6648710.
The greatest common factor of 8016/955,9500/6962 = [GCF of 8016,9500]/[LCM of 955,6962]= 4/6648710
Therefore, the GCF of 8016/955,9500/6962 is 4/6648710.
To find the highest common factor of 8016,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 8016,9500 is 4.
Lets's calculate GCF of 8016,9500
| 2 | 8016, 9500 |
| 2 | 4008, 4750 |
| 2004, 2375 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8016,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 8016
:1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 8016,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 8016,9500 is 4.
Lets's calculate LCM of 955,6962
Given numbers has no common factors except 1. So, there LCM is their product i.e 6648710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6648710
Therefore, the GCF of Fractions 8016/955,9500/6962 is 4/6648710
Least Common Multiple of 955,6962 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 955,6962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,6962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,6962) x common factors =1 x 1 = 1
LCM(955,6962) = ( 955 × 6962 ) / 1
LCM(955,6962) = 6648710 / 1
LCM(955,6962) = 6648710
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FAQs on GCF of Fractions of 8016/955, 9500/6962
1. What is the HCF of 8016,9500?
The HCF of 8016,9500 is 4
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 8016/955, 9500/6962?
Answer: GCF of Numerators as per given numbers 8016/955, 9500/6962 is
GCF of Numerators i.e. for 8016,9500 is 4
LCM of denominators i.e. for 955,6962 is 6648710.
Thus, GCF of Fractions is 4/6648710.Finally, GCF of Fractions for 8016/955, 9500/6962 is 4/6648710.