GCF of 9845/845, 2112/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9845/845, 2112/309 i.e 11/261105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9845/845, 2112/309.
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 9845/845,2112/309?
Given fractions are 9845/845,2112/309
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 9845/845,2112/309, numerators are 9845,2112
Denominators are 845,309
The GCF of 9845,2112 is 11 .
LCM of 845,309 is 261105.
The greatest common factor of 9845/845,2112/309 = [GCF of 9845,2112]/[LCM of 845,309]= 11/261105
Therefore, the GCF of 9845/845,2112/309 is 11/261105.
To find the highest common factor of 9845,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 9845,2112 is 11.
Lets's calculate GCF of 9845,2112
| 11 | 9845, 2112 |
| 895, 192 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9845,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 9845
:1,5,11,55,179,895,1969,9845
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 9845,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 9845,2112 is 11.
Lets's calculate LCM of 845,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 261105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/261105
Therefore, the GCF of Fractions 9845/845,2112/309 is 11/261105
Least Common Multiple of 845,309 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 845,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,309) x common factors =1 x 1 = 1
LCM(845,309) = ( 845 × 309 ) / 1
LCM(845,309) = 261105 / 1
LCM(845,309) = 261105
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FAQs on GCF of Fractions of 9845/845, 2112/309
1. What is the HCF of 9845,2112?
The HCF of 9845,2112 is 11
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 9845/845, 2112/309?
Answer: GCF of Numerators as per given numbers 9845/845, 2112/309 is
GCF of Numerators i.e. for 9845,2112 is 11
LCM of denominators i.e. for 845,309 is 261105.
Thus, GCF of Fractions is 11/261105.Finally, GCF of Fractions for 9845/845, 2112/309 is 11/261105.