GCF of 9246/206, 6165/7864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9246/206, 6165/7864 i.e 3/809992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9246/206, 6165/7864.
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 9246/206,6165/7864?
Given fractions are 9246/206,6165/7864
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 9246/206,6165/7864, numerators are 9246,6165
Denominators are 206,7864
The GCF of 9246,6165 is 3 .
LCM of 206,7864 is 809992.
The greatest common factor of 9246/206,6165/7864 = [GCF of 9246,6165]/[LCM of 206,7864]= 3/809992
Therefore, the GCF of 9246/206,6165/7864 is 3/809992.
To find the highest common factor of 9246,6165, we have to find the factors of both numbers and list the highest common factor.
The factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The HCF of 9246,6165 is 3.
Lets's calculate GCF of 9246,6165
| 3 | 9246, 6165 |
| 3082, 2055 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9246,6165 By Matching Biggest Common Factor Method
Now, list down the factors of 9246
:1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 9246,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 9246,6165 is 3.
Lets's calculate LCM of 206,7864
| 2 | 206, 7864 |
| 103, 3932 |
∴ So the LCM of the given numbers is 2 x 103 x 3932 = 809992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/809992
Therefore, the GCF of Fractions 9246/206,6165/7864 is 3/809992
Least Common Multiple of 206,7864 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 206,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,7864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,7864) x common factors =2 x 1 = 2
LCM(206,7864) = ( 206 × 7864 ) / 2
LCM(206,7864) = 1619984 / 2
LCM(206,7864) = 809992
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FAQs on GCF of Fractions of 9246/206, 6165/7864
1. What is the HCF of 9246,6165?
The HCF of 9246,6165 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 9246/206, 6165/7864?
Answer: GCF of Numerators as per given numbers 9246/206, 6165/7864 is
GCF of Numerators i.e. for 9246,6165 is 3
LCM of denominators i.e. for 206,7864 is 809992.
Thus, GCF of Fractions is 3/809992.Finally, GCF of Fractions for 9246/206, 6165/7864 is 3/809992.